Finding the Third Proportional to 31,418 and 65,023

Step by Step Solution

1. Step 1: Write the proportion equation
   31,418 : 65,023 = 65,023 : x
2. Step 2: Convert to fraction form
   31,418/65,023 = 65,023/x
3. Step 3: Cross multiply
   31,418x = 65,023 × 65,023
4. Step 4: Simplify right side
   31,418x = 4,227,990,529
5. Step 5: Solve for x
   x = 4,227,990,529/31,418
6. Step 6: Final answer
   x = 134,572.24