Finding the Third Proportional to 17,535.50 and 37,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,535.50 : 37,986.50 = 37,986.50 : x
2. Step 2: Convert to fraction form
   17,535.50/37,986.50 = 37,986.50/x
3. Step 3: Cross multiply
   17,535.50x = 37,986.50 × 37,986.50
4. Step 4: Simplify right side
   17,535.50x = 1,442,974,182.25
5. Step 5: Solve for x
   x = 1,442,974,182.25/17,535.50
6. Step 6: Final answer
   x = 82,288.74