Finding the Third Proportional to 11,569.50 and 12,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,569.50 : 12,649.50 = 12,649.50 : x
2. Step 2: Convert to fraction form
   11,569.50/12,649.50 = 12,649.50/x
3. Step 3: Cross multiply
   11,569.50x = 12,649.50 × 12,649.50
4. Step 4: Simplify right side
   11,569.50x = 160,009,850.25
5. Step 5: Solve for x
   x = 160,009,850.25/11,569.50
6. Step 6: Final answer
   x = 13,830.32