Finding the Third Proportional to 42,204 and 63,231

Step by Step Solution

1. Step 1: Write the proportion equation
   42,204 : 63,231 = 63,231 : x
2. Step 2: Convert to fraction form
   42,204/63,231 = 63,231/x
3. Step 3: Cross multiply
   42,204x = 63,231 × 63,231
4. Step 4: Simplify right side
   42,204x = 3,998,159,361
5. Step 5: Solve for x
   x = 3,998,159,361/42,204
6. Step 6: Final answer
   x = 94,734.13