Finding the Third Proportional to 42,648 and 68,136

Step by Step Solution

1. Step 1: Write the proportion equation
   42,648 : 68,136 = 68,136 : x
2. Step 2: Convert to fraction form
   42,648/68,136 = 68,136/x
3. Step 3: Cross multiply
   42,648x = 68,136 × 68,136
4. Step 4: Simplify right side
   42,648x = 4,642,514,496
5. Step 5: Solve for x
   x = 4,642,514,496/42,648
6. Step 6: Final answer
   x = 108,856.56