Finding the Third Proportional to 32,584.50 and 48,732.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,584.50 : 48,732.75 = 48,732.75 : x
2. Step 2: Convert to fraction form
   32,584.50/48,732.75 = 48,732.75/x
3. Step 3: Cross multiply
   32,584.50x = 48,732.75 × 48,732.75
4. Step 4: Simplify right side
   32,584.50x = 2,374,880,922.56
5. Step 5: Solve for x
   x = 2,374,880,922.56/32,584.50
6. Step 6: Final answer
   x = 72,883.76