Finding the Third Proportional to 12,742 and 27,124.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,742 : 27,124.50 = 27,124.50 : x
2. Step 2: Convert to fraction form
   12,742/27,124.50 = 27,124.50/x
3. Step 3: Cross multiply
   12,742x = 27,124.50 × 27,124.50
4. Step 4: Simplify right side
   12,742x = 735,738,500.25
5. Step 5: Solve for x
   x = 735,738,500.25/12,742
6. Step 6: Final answer
   x = 57,741.21