Finding the Third Proportional to 32,496 and 49,615

Step by Step Solution

1. Step 1: Write the proportion equation
   32,496 : 49,615 = 49,615 : x
2. Step 2: Convert to fraction form
   32,496/49,615 = 49,615/x
3. Step 3: Cross multiply
   32,496x = 49,615 × 49,615
4. Step 4: Simplify right side
   32,496x = 2,461,648,225
5. Step 5: Solve for x
   x = 2,461,648,225/32,496
6. Step 6: Final answer
   x = 75,752.35