Finding the Third Proportional to 32,538 and 48,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,538 : 48,532.50 = 48,532.50 : x
2. Step 2: Convert to fraction form
   32,538/48,532.50 = 48,532.50/x
3. Step 3: Cross multiply
   32,538x = 48,532.50 × 48,532.50
4. Step 4: Simplify right side
   32,538x = 2,355,403,556.25
5. Step 5: Solve for x
   x = 2,355,403,556.25/32,538
6. Step 6: Final answer
   x = 72,389.32