Finding the Third Proportional to 42,828 and 68,210

Step by Step Solution

1. Step 1: Write the proportion equation
   42,828 : 68,210 = 68,210 : x
2. Step 2: Convert to fraction form
   42,828/68,210 = 68,210/x
3. Step 3: Cross multiply
   42,828x = 68,210 × 68,210
4. Step 4: Simplify right side
   42,828x = 4,652,604,100
5. Step 5: Solve for x
   x = 4,652,604,100/42,828
6. Step 6: Final answer
   x = 108,634.63