Finding the Third Proportional to 16,978.50 and 37,413

Step by Step Solution

1. Step 1: Write the proportion equation
   16,978.50 : 37,413 = 37,413 : x
2. Step 2: Convert to fraction form
   16,978.50/37,413 = 37,413/x
3. Step 3: Cross multiply
   16,978.50x = 37,413 × 37,413
4. Step 4: Simplify right side
   16,978.50x = 1,399,732,569
5. Step 5: Solve for x
   x = 1,399,732,569/16,978.50
6. Step 6: Final answer
   x = 82,441.47