Finding the Third Proportional to 32,188 and 42,426

Step by Step Solution

1. Step 1: Write the proportion equation
   32,188 : 42,426 = 42,426 : x
2. Step 2: Convert to fraction form
   32,188/42,426 = 42,426/x
3. Step 3: Cross multiply
   32,188x = 42,426 × 42,426
4. Step 4: Simplify right side
   32,188x = 1,799,965,476
5. Step 5: Solve for x
   x = 1,799,965,476/32,188
6. Step 6: Final answer
   x = 55,920.39