Finding the Third Proportional to 31,594 and 65,748

Step by Step Solution

1. Step 1: Write the proportion equation
   31,594 : 65,748 = 65,748 : x
2. Step 2: Convert to fraction form
   31,594/65,748 = 65,748/x
3. Step 3: Cross multiply
   31,594x = 65,748 × 65,748
4. Step 4: Simplify right side
   31,594x = 4,322,799,504
5. Step 5: Solve for x
   x = 4,322,799,504/31,594
6. Step 6: Final answer
   x = 136,823.43