Finding the Third Proportional to 32,002 and 48,443

Step by Step Solution

1. Step 1: Write the proportion equation
   32,002 : 48,443 = 48,443 : x
2. Step 2: Convert to fraction form
   32,002/48,443 = 48,443/x
3. Step 3: Cross multiply
   32,002x = 48,443 × 48,443
4. Step 4: Simplify right side
   32,002x = 2,346,724,249
5. Step 5: Solve for x
   x = 2,346,724,249/32,002
6. Step 6: Final answer
   x = 73,330.55