Finding the Third Proportional to 5,688 and 12,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,688 : 12,478.50 = 12,478.50 : x
2. Step 2: Convert to fraction form
   5,688/12,478.50 = 12,478.50/x
3. Step 3: Cross multiply
   5,688x = 12,478.50 × 12,478.50
4. Step 4: Simplify right side
   5,688x = 155,712,962.25
5. Step 5: Solve for x
   x = 155,712,962.25/5,688
6. Step 6: Final answer
   x = 27,375.70