Finding the Third Proportional to 32,538.50 and 49,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,538.50 : 49,217.50 = 49,217.50 : x
2. Step 2: Convert to fraction form
   32,538.50/49,217.50 = 49,217.50/x
3. Step 3: Cross multiply
   32,538.50x = 49,217.50 × 49,217.50
4. Step 4: Simplify right side
   32,538.50x = 2,422,362,306.25
5. Step 5: Solve for x
   x = 2,422,362,306.25/32,538.50
6. Step 6: Final answer
   x = 74,446.03