Finding the Third Proportional to 42,363 and 56,214

Step by Step Solution

1. Step 1: Write the proportion equation
   42,363 : 56,214 = 56,214 : x
2. Step 2: Convert to fraction form
   42,363/56,214 = 56,214/x
3. Step 3: Cross multiply
   42,363x = 56,214 × 56,214
4. Step 4: Simplify right side
   42,363x = 3,160,013,796
5. Step 5: Solve for x
   x = 3,160,013,796/42,363
6. Step 6: Final answer
   x = 74,593.72