Finding the Third Proportional to 5,792 and 12,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,792 : 12,677.50 = 12,677.50 : x
2. Step 2: Convert to fraction form
   5,792/12,677.50 = 12,677.50/x
3. Step 3: Cross multiply
   5,792x = 12,677.50 × 12,677.50
4. Step 4: Simplify right side
   5,792x = 160,719,006.25
5. Step 5: Solve for x
   x = 160,719,006.25/5,792
6. Step 6: Final answer
   x = 27,748.45