Finding the Third Proportional to 16,977.50 and 37,339

Step by Step Solution

1. Step 1: Write the proportion equation
   16,977.50 : 37,339 = 37,339 : x
2. Step 2: Convert to fraction form
   16,977.50/37,339 = 37,339/x
3. Step 3: Cross multiply
   16,977.50x = 37,339 × 37,339
4. Step 4: Simplify right side
   16,977.50x = 1,394,200,921
5. Step 5: Solve for x
   x = 1,394,200,921/16,977.50
6. Step 6: Final answer
   x = 82,120.51