Finding the Third Proportional to 27,978.75 and 42,238.13

Step by Step Solution

1. Step 1: Write the proportion equation
   27,978.75 : 42,238.13 = 42,238.13 : x
2. Step 2: Convert to fraction form
   27,978.75/42,238.13 = 42,238.13/x
3. Step 3: Cross multiply
   27,978.75x = 42,238.13 × 42,238.13
4. Step 4: Simplify right side
   27,978.75x = 1,784,059,203.52
5. Step 5: Solve for x
   x = 1,784,059,203.52/27,978.75
6. Step 6: Final answer
   x = 63,764.79