Finding the Third Proportional to 32,594 and 75,443

Step by Step Solution

1. Step 1: Write the proportion equation
   32,594 : 75,443 = 75,443 : x
2. Step 2: Convert to fraction form
   32,594/75,443 = 75,443/x
3. Step 3: Cross multiply
   32,594x = 75,443 × 75,443
4. Step 4: Simplify right side
   32,594x = 5,691,646,249
5. Step 5: Solve for x
   x = 5,691,646,249/32,594
6. Step 6: Final answer
   x = 174,622.51