Finding the Third Proportional to 5,664 and 13,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,664 : 13,498.50 = 13,498.50 : x
2. Step 2: Convert to fraction form
   5,664/13,498.50 = 13,498.50/x
3. Step 3: Cross multiply
   5,664x = 13,498.50 × 13,498.50
4. Step 4: Simplify right side
   5,664x = 182,209,502.25
5. Step 5: Solve for x
   x = 182,209,502.25/5,664
6. Step 6: Final answer
   x = 32,169.76