Finding the Third Proportional to 32,462 and 48,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,462 : 48,562.50 = 48,562.50 : x
2. Step 2: Convert to fraction form
   32,462/48,562.50 = 48,562.50/x
3. Step 3: Cross multiply
   32,462x = 48,562.50 × 48,562.50
4. Step 4: Simplify right side
   32,462x = 2,358,316,406.25
5. Step 5: Solve for x
   x = 2,358,316,406.25/32,462
6. Step 6: Final answer
   x = 72,648.52