Finding the Third Proportional to 42,822 and 68,196

Step by Step Solution

1. Step 1: Write the proportion equation
   42,822 : 68,196 = 68,196 : x
2. Step 2: Convert to fraction form
   42,822/68,196 = 68,196/x
3. Step 3: Cross multiply
   42,822x = 68,196 × 68,196
4. Step 4: Simplify right side
   42,822x = 4,650,694,416
5. Step 5: Solve for x
   x = 4,650,694,416/42,822
6. Step 6: Final answer
   x = 108,605.26