Finding the Third Proportional to 12,782.75 and 27,342.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,782.75 : 27,342.25 = 27,342.25 : x
2. Step 2: Convert to fraction form
   12,782.75/27,342.25 = 27,342.25/x
3. Step 3: Cross multiply
   12,782.75x = 27,342.25 × 27,342.25
4. Step 4: Simplify right side
   12,782.75x = 747,598,635.06
5. Step 5: Solve for x
   x = 747,598,635.06/12,782.75
6. Step 6: Final answer
   x = 58,484.96