Finding the Third Proportional to 5,647.50 and 8,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,647.50 : 8,737.50 = 8,737.50 : x
2. Step 2: Convert to fraction form
   5,647.50/8,737.50 = 8,737.50/x
3. Step 3: Cross multiply
   5,647.50x = 8,737.50 × 8,737.50
4. Step 4: Simplify right side
   5,647.50x = 76,343,906.25
5. Step 5: Solve for x
   x = 76,343,906.25/5,647.50
6. Step 6: Final answer
   x = 13,518.18