Finding the Third Proportional to 13,685 and 21,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,685 : 21,131.50 = 21,131.50 : x
2. Step 2: Convert to fraction form
   13,685/21,131.50 = 21,131.50/x
3. Step 3: Cross multiply
   13,685x = 21,131.50 × 21,131.50
4. Step 4: Simplify right side
   13,685x = 446,540,292.25
5. Step 5: Solve for x
   x = 446,540,292.25/13,685
6. Step 6: Final answer
   x = 32,629.91