Finding the Third Proportional to 12,742.50 and 27,125.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,742.50 : 27,125.25 = 27,125.25 : x
2. Step 2: Convert to fraction form
   12,742.50/27,125.25 = 27,125.25/x
3. Step 3: Cross multiply
   12,742.50x = 27,125.25 × 27,125.25
4. Step 4: Simplify right side
   12,742.50x = 735,779,187.56
5. Step 5: Solve for x
   x = 735,779,187.56/12,742.50
6. Step 6: Final answer
   x = 57,742.14