Finding the Third Proportional to 17,534.25 and 37,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534.25 : 37,984.50 = 37,984.50 : x
2. Step 2: Convert to fraction form
   17,534.25/37,984.50 = 37,984.50/x
3. Step 3: Cross multiply
   17,534.25x = 37,984.50 × 37,984.50
4. Step 4: Simplify right side
   17,534.25x = 1,442,822,240.25
5. Step 5: Solve for x
   x = 1,442,822,240.25/17,534.25
6. Step 6: Final answer
   x = 82,285.94