Finding the Third Proportional to 32,184 and 42,420

Step by Step Solution

1. Step 1: Write the proportion equation
   32,184 : 42,420 = 42,420 : x
2. Step 2: Convert to fraction form
   32,184/42,420 = 42,420/x
3. Step 3: Cross multiply
   32,184x = 42,420 × 42,420
4. Step 4: Simplify right side
   32,184x = 1,799,456,400
5. Step 5: Solve for x
   x = 1,799,456,400/32,184
6. Step 6: Final answer
   x = 55,911.52