Finding the Third Proportional to 11,566.50 and 23,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,566.50 : 23,677.50 = 23,677.50 : x
2. Step 2: Convert to fraction form
   11,566.50/23,677.50 = 23,677.50/x
3. Step 3: Cross multiply
   11,566.50x = 23,677.50 × 23,677.50
4. Step 4: Simplify right side
   11,566.50x = 560,624,006.25
5. Step 5: Solve for x
   x = 560,624,006.25/11,566.50
6. Step 6: Final answer
   x = 48,469.63