Finding the Third Proportional to 39,502 and 55,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,502 : 55,893.50 = 55,893.50 : x
2. Step 2: Convert to fraction form
   39,502/55,893.50 = 55,893.50/x
3. Step 3: Cross multiply
   39,502x = 55,893.50 × 55,893.50
4. Step 4: Simplify right side
   39,502x = 3,124,083,342.25
5. Step 5: Solve for x
   x = 3,124,083,342.25/39,502
6. Step 6: Final answer
   x = 79,086.71