Finding the Third Proportional to 13,002.50 and 20,172.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.50 : 20,172.25 = 20,172.25 : x
2. Step 2: Convert to fraction form
   13,002.50/20,172.25 = 20,172.25/x
3. Step 3: Cross multiply
   13,002.50x = 20,172.25 × 20,172.25
4. Step 4: Simplify right side
   13,002.50x = 406,919,670.06
5. Step 5: Solve for x
   x = 406,919,670.06/13,002.50
6. Step 6: Final answer
   x = 31,295.49