Finding the Third Proportional to 31,192 and 68,417

Step by Step Solution

1. Step 1: Write the proportion equation
   31,192 : 68,417 = 68,417 : x
2. Step 2: Convert to fraction form
   31,192/68,417 = 68,417/x
3. Step 3: Cross multiply
   31,192x = 68,417 × 68,417
4. Step 4: Simplify right side
   31,192x = 4,680,885,889
5. Step 5: Solve for x
   x = 4,680,885,889/31,192
6. Step 6: Final answer
   x = 150,066.87