Finding the Third Proportional to 8,478.50 and 13,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,478.50 : 13,127.50 = 13,127.50 : x
2. Step 2: Convert to fraction form
   8,478.50/13,127.50 = 13,127.50/x
3. Step 3: Cross multiply
   8,478.50x = 13,127.50 × 13,127.50
4. Step 4: Simplify right side
   8,478.50x = 172,331,256.25
5. Step 5: Solve for x
   x = 172,331,256.25/8,478.50
6. Step 6: Final answer
   x = 20,325.68