Finding the Third Proportional to 33,142 and 68,229

Step by Step Solution

1. Step 1: Write the proportion equation
   33,142 : 68,229 = 68,229 : x
2. Step 2: Convert to fraction form
   33,142/68,229 = 68,229/x
3. Step 3: Cross multiply
   33,142x = 68,229 × 68,229
4. Step 4: Simplify right side
   33,142x = 4,655,196,441
5. Step 5: Solve for x
   x = 4,655,196,441/33,142
6. Step 6: Final answer
   x = 140,462.15