Finding the Third Proportional to 32,532 and 48,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,532 : 48,523.50 = 48,523.50 : x
2. Step 2: Convert to fraction form
   32,532/48,523.50 = 48,523.50/x
3. Step 3: Cross multiply
   32,532x = 48,523.50 × 48,523.50
4. Step 4: Simplify right side
   32,532x = 2,354,530,052.25
5. Step 5: Solve for x
   x = 2,354,530,052.25/32,532
6. Step 6: Final answer
   x = 72,375.82