Finding the Third Proportional to 6,747,703,606,128 and 10,279,429,256,274

Step by Step Solution

1. Step 1: Write the proportion equation
   6,747,703,606,128 : 10,279,429,256,274 = 10,279,429,256,274 : x
2. Step 2: Convert to fraction form
   6,747,703,606,128/10,279,429,256,274 = 10,279,429,256,274/x
3. Step 3: Cross multiply
   6,747,703,606,128x = 10,279,429,256,274 × 10,279,429,256,274
4. Step 4: Simplify right side
   6,747,703,606,128x = 105,666,665,834,741,848,919,244,800
5. Step 5: Solve for x
   x = 105,666,665,834,741,848,919,244,800/6,747,703,606,128
6. Step 6: Final answer
   x = 15,659,648,378,565.34