Finding the Third Proportional to 5,060,777,849,256 and 7,709,572,168,224

Step by Step Solution

1. Step 1: Write the proportion equation
   5,060,777,849,256 : 7,709,572,168,224 = 7,709,572,168,224 : x
2. Step 2: Convert to fraction form
   5,060,777,849,256/7,709,572,168,224 = 7,709,572,168,224/x
3. Step 3: Cross multiply
   5,060,777,849,256x = 7,709,572,168,224 × 7,709,572,168,224
4. Step 4: Simplify right side
   5,060,777,849,256x = 59,437,503,017,054,108,118,941,696
5. Step 5: Solve for x
   x = 59,437,503,017,054,108,118,941,696/5,060,777,849,256
6. Step 6: Final answer
   x = 11,744,736,636,837.79