Finding the Third Proportional to 72,025 and 109,031

Step by Step Solution

1. Step 1: Write the proportion equation
   72,025 : 109,031 = 109,031 : x
2. Step 2: Convert to fraction form
   72,025/109,031 = 109,031/x
3. Step 3: Cross multiply
   72,025x = 109,031 × 109,031
4. Step 4: Simplify right side
   72,025x = 11,887,758,961
5. Step 5: Solve for x
   x = 11,887,758,961/72,025
6. Step 6: Final answer
   x = 165,050.45