Finding the Third Proportional to 32,588 and 48,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,588 : 48,737.50 = 48,737.50 : x
2. Step 2: Convert to fraction form
   32,588/48,737.50 = 48,737.50/x
3. Step 3: Cross multiply
   32,588x = 48,737.50 × 48,737.50
4. Step 4: Simplify right side
   32,588x = 2,375,343,906.25
5. Step 5: Solve for x
   x = 2,375,343,906.25/32,588
6. Step 6: Final answer
   x = 72,890.14