Finding the Third Proportional to 13,707 and 21,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,707 : 21,136.50 = 21,136.50 : x
2. Step 2: Convert to fraction form
   13,707/21,136.50 = 21,136.50/x
3. Step 3: Cross multiply
   13,707x = 21,136.50 × 21,136.50
4. Step 4: Simplify right side
   13,707x = 446,751,632.25
5. Step 5: Solve for x
   x = 446,751,632.25/13,707
6. Step 6: Final answer
   x = 32,592.95