Finding the Third Proportional to 39,977 and 59,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,977 : 59,641.50 = 59,641.50 : x
2. Step 2: Convert to fraction form
   39,977/59,641.50 = 59,641.50/x
3. Step 3: Cross multiply
   39,977x = 59,641.50 × 59,641.50
4. Step 4: Simplify right side
   39,977x = 3,557,108,522.25
5. Step 5: Solve for x
   x = 3,557,108,522.25/39,977
6. Step 6: Final answer
   x = 88,978.88