Finding the Third Proportional to 11,529 and 17,887.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,529 : 17,887.50 = 17,887.50 : x
2. Step 2: Convert to fraction form
   11,529/17,887.50 = 17,887.50/x
3. Step 3: Cross multiply
   11,529x = 17,887.50 × 17,887.50
4. Step 4: Simplify right side
   11,529x = 319,962,656.25
5. Step 5: Solve for x
   x = 319,962,656.25/11,529
6. Step 6: Final answer
   x = 27,752.85