Finding the Third Proportional to 27,377.50 and 39,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,377.50 : 39,562.50 = 39,562.50 : x
2. Step 2: Convert to fraction form
   27,377.50/39,562.50 = 39,562.50/x
3. Step 3: Cross multiply
   27,377.50x = 39,562.50 × 39,562.50
4. Step 4: Simplify right side
   27,377.50x = 1,565,191,406.25
5. Step 5: Solve for x
   x = 1,565,191,406.25/27,377.50
6. Step 6: Final answer
   x = 57,170.72