Finding the Third Proportional to 8,523,838,994,156 and 17,499,551,525,174

Step by Step Solution

1. Step 1: Write the proportion equation
   8,523,838,994,156 : 17,499,551,525,174 = 17,499,551,525,174 : x
2. Step 2: Convert to fraction form
   8,523,838,994,156/17,499,551,525,174 = 17,499,551,525,174/x
3. Step 3: Cross multiply
   8,523,838,994,156x = 17,499,551,525,174 × 17,499,551,525,174
4. Step 4: Simplify right side
   8,523,838,994,156x = 306,234,303,582,219,671,825,285,120
5. Step 5: Solve for x
   x = 306,234,303,582,219,671,825,285,120/8,523,838,994,156
6. Step 6: Final answer
   x = 35,926,805,256,666.15