Finding the Third Proportional to 11,587.50 and 24,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,587.50 : 24,547.50 = 24,547.50 : x
2. Step 2: Convert to fraction form
   11,587.50/24,547.50 = 24,547.50/x
3. Step 3: Cross multiply
   11,587.50x = 24,547.50 × 24,547.50
4. Step 4: Simplify right side
   11,587.50x = 602,579,756.25
5. Step 5: Solve for x
   x = 602,579,756.25/11,587.50
6. Step 6: Final answer
   x = 52,002.57