Finding the Third Proportional to 31,414 and 65,925

Step by Step Solution

1. Step 1: Write the proportion equation
   31,414 : 65,925 = 65,925 : x
2. Step 2: Convert to fraction form
   31,414/65,925 = 65,925/x
3. Step 3: Cross multiply
   31,414x = 65,925 × 65,925
4. Step 4: Simplify right side
   31,414x = 4,346,105,625
5. Step 5: Solve for x
   x = 4,346,105,625/31,414
6. Step 6: Final answer
   x = 138,349.32