Finding the Third Proportional to 11,569.50 and 25,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,569.50 : 25,312.50 = 25,312.50 : x
2. Step 2: Convert to fraction form
   11,569.50/25,312.50 = 25,312.50/x
3. Step 3: Cross multiply
   11,569.50x = 25,312.50 × 25,312.50
4. Step 4: Simplify right side
   11,569.50x = 640,722,656.25
5. Step 5: Solve for x
   x = 640,722,656.25/11,569.50
6. Step 6: Final answer
   x = 55,380.32