Finding the Third Proportional to 31,239 and 65,745

Step by Step Solution

1. Step 1: Write the proportion equation
   31,239 : 65,745 = 65,745 : x
2. Step 2: Convert to fraction form
   31,239/65,745 = 65,745/x
3. Step 3: Cross multiply
   31,239x = 65,745 × 65,745
4. Step 4: Simplify right side
   31,239x = 4,322,405,025
5. Step 5: Solve for x
   x = 4,322,405,025/31,239
6. Step 6: Final answer
   x = 138,365.67