Finding the Third Proportional to 31,652.16 and 69,186.09

Step by Step Solution

1. Step 1: Write the proportion equation
   31,652.16 : 69,186.09 = 69,186.09 : x
2. Step 2: Convert to fraction form
   31,652.16/69,186.09 = 69,186.09/x
3. Step 3: Cross multiply
   31,652.16x = 69,186.09 × 69,186.09
4. Step 4: Simplify right side
   31,652.16x = 4,786,715,568.38
5. Step 5: Solve for x
   x = 4,786,715,568.38/31,652.16
6. Step 6: Final answer
   x = 151,228.74