Finding the Third Proportional to 27,778.75 and 42,351.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,778.75 : 42,351.50 = 42,351.50 : x
2. Step 2: Convert to fraction form
   27,778.75/42,351.50 = 42,351.50/x
3. Step 3: Cross multiply
   27,778.75x = 42,351.50 × 42,351.50
4. Step 4: Simplify right side
   27,778.75x = 1,793,649,552.25
5. Step 5: Solve for x
   x = 1,793,649,552.25/27,778.75
6. Step 6: Final answer
   x = 64,569.12