Finding the Third Proportional to 42,810 and 68,179

Step by Step Solution

1. Step 1: Write the proportion equation
   42,810 : 68,179 = 68,179 : x
2. Step 2: Convert to fraction form
   42,810/68,179 = 68,179/x
3. Step 3: Cross multiply
   42,810x = 68,179 × 68,179
4. Step 4: Simplify right side
   42,810x = 4,648,376,041
5. Step 5: Solve for x
   x = 4,648,376,041/42,810
6. Step 6: Final answer
   x = 108,581.55