Finding the Third Proportional to 17,977.50 and 39,384

Step by Step Solution

1. Step 1: Write the proportion equation
   17,977.50 : 39,384 = 39,384 : x
2. Step 2: Convert to fraction form
   17,977.50/39,384 = 39,384/x
3. Step 3: Cross multiply
   17,977.50x = 39,384 × 39,384
4. Step 4: Simplify right side
   17,977.50x = 1,551,099,456
5. Step 5: Solve for x
   x = 1,551,099,456/17,977.50
6. Step 6: Final answer
   x = 86,280.04