Finding the Third Proportional to 32,506 and 48,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,506 : 48,544.50 = 48,544.50 : x
2. Step 2: Convert to fraction form
   32,506/48,544.50 = 48,544.50/x
3. Step 3: Cross multiply
   32,506x = 48,544.50 × 48,544.50
4. Step 4: Simplify right side
   32,506x = 2,356,568,480.25
5. Step 5: Solve for x
   x = 2,356,568,480.25/32,506
6. Step 6: Final answer
   x = 72,496.42