Finding the Third Proportional to 65,025 and 102,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,025 : 102,991.50 = 102,991.50 : x
2. Step 2: Convert to fraction form
   65,025/102,991.50 = 102,991.50/x
3. Step 3: Cross multiply
   65,025x = 102,991.50 × 102,991.50
4. Step 4: Simplify right side
   65,025x = 10,607,249,072.25
5. Step 5: Solve for x
   x = 10,607,249,072.25/65,025
6. Step 6: Final answer
   x = 163,125.71