Finding the Third Proportional to 11,555.75 and 16,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,555.75 : 16,513.50 = 16,513.50 : x
2. Step 2: Convert to fraction form
   11,555.75/16,513.50 = 16,513.50/x
3. Step 3: Cross multiply
   11,555.75x = 16,513.50 × 16,513.50
4. Step 4: Simplify right side
   11,555.75x = 272,695,682.25
5. Step 5: Solve for x
   x = 272,695,682.25/11,555.75
6. Step 6: Final answer
   x = 23,598.27