Finding the Third Proportional to 13,308 and 20,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,308 : 20,689.50 = 20,689.50 : x
2. Step 2: Convert to fraction form
   13,308/20,689.50 = 20,689.50/x
3. Step 3: Cross multiply
   13,308x = 20,689.50 × 20,689.50
4. Step 4: Simplify right side
   13,308x = 428,055,410.25
5. Step 5: Solve for x
   x = 428,055,410.25/13,308
6. Step 6: Final answer
   x = 32,165.27