Finding the Third Proportional to 11,748 and 25,432

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748 : 25,432 = 25,432 : x
2. Step 2: Convert to fraction form
   11,748/25,432 = 25,432/x
3. Step 3: Cross multiply
   11,748x = 25,432 × 25,432
4. Step 4: Simplify right side
   11,748x = 646,786,624
5. Step 5: Solve for x
   x = 646,786,624/11,748
6. Step 6: Final answer
   x = 55,055.04