Finding the Third Proportional to 25,748 and 55,708

Step by Step Solution

1. Step 1: Write the proportion equation
   25,748 : 55,708 = 55,708 : x
2. Step 2: Convert to fraction form
   25,748/55,708 = 55,708/x
3. Step 3: Cross multiply
   25,748x = 55,708 × 55,708
4. Step 4: Simplify right side
   25,748x = 3,103,381,264
5. Step 5: Solve for x
   x = 3,103,381,264/25,748
6. Step 6: Final answer
   x = 120,529.02