Finding the Third Proportional to 72,500 and 102,095

Step by Step Solution

1. Step 1: Write the proportion equation
   72,500 : 102,095 = 102,095 : x
2. Step 2: Convert to fraction form
   72,500/102,095 = 102,095/x
3. Step 3: Cross multiply
   72,500x = 102,095 × 102,095
4. Step 4: Simplify right side
   72,500x = 10,423,389,025
5. Step 5: Solve for x
   x = 10,423,389,025/72,500
6. Step 6: Final answer
   x = 143,770.88