Finding the Third Proportional to 11,592 and 16,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,592 : 16,564.50 = 16,564.50 : x
2. Step 2: Convert to fraction form
   11,592/16,564.50 = 16,564.50/x
3. Step 3: Cross multiply
   11,592x = 16,564.50 × 16,564.50
4. Step 4: Simplify right side
   11,592x = 274,382,660.25
5. Step 5: Solve for x
   x = 274,382,660.25/11,592
6. Step 6: Final answer
   x = 23,670.00