Finding the Third Proportional to 32,517 and 48,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,517 : 48,559.50 = 48,559.50 : x
2. Step 2: Convert to fraction form
   32,517/48,559.50 = 48,559.50/x
3. Step 3: Cross multiply
   32,517x = 48,559.50 × 48,559.50
4. Step 4: Simplify right side
   32,517x = 2,358,025,040.25
5. Step 5: Solve for x
   x = 2,358,025,040.25/32,517
6. Step 6: Final answer
   x = 72,516.68