Finding the Third Proportional to 10,782.50 and 23,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782.50 : 23,569.50 = 23,569.50 : x
2. Step 2: Convert to fraction form
   10,782.50/23,569.50 = 23,569.50/x
3. Step 3: Cross multiply
   10,782.50x = 23,569.50 × 23,569.50
4. Step 4: Simplify right side
   10,782.50x = 555,521,330.25
5. Step 5: Solve for x
   x = 555,521,330.25/10,782.50
6. Step 6: Final answer
   x = 51,520.64