Finding the Third Proportional to 43,814 and 68,061

Step by Step Solution

1. Step 1: Write the proportion equation
   43,814 : 68,061 = 68,061 : x
2. Step 2: Convert to fraction form
   43,814/68,061 = 68,061/x
3. Step 3: Cross multiply
   43,814x = 68,061 × 68,061
4. Step 4: Simplify right side
   43,814x = 4,632,299,721
5. Step 5: Solve for x
   x = 4,632,299,721/43,814
6. Step 6: Final answer
   x = 105,726.47