Finding the Third Proportional to 11,730 and 25,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,730 : 25,417.50 = 25,417.50 : x
2. Step 2: Convert to fraction form
   11,730/25,417.50 = 25,417.50/x
3. Step 3: Cross multiply
   11,730x = 25,417.50 × 25,417.50
4. Step 4: Simplify right side
   11,730x = 646,049,306.25
5. Step 5: Solve for x
   x = 646,049,306.25/11,730
6. Step 6: Final answer
   x = 55,076.67