Finding the Third Proportional to 10,781.25 and 23,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,781.25 : 23,566.50 = 23,566.50 : x
2. Step 2: Convert to fraction form
   10,781.25/23,566.50 = 23,566.50/x
3. Step 3: Cross multiply
   10,781.25x = 23,566.50 × 23,566.50
4. Step 4: Simplify right side
   10,781.25x = 555,379,922.25
5. Step 5: Solve for x
   x = 555,379,922.25/10,781.25
6. Step 6: Final answer
   x = 51,513.50