Finding the Third Proportional to 31,687 and 68,054

Step by Step Solution

1. Step 1: Write the proportion equation
   31,687 : 68,054 = 68,054 : x
2. Step 2: Convert to fraction form
   31,687/68,054 = 68,054/x
3. Step 3: Cross multiply
   31,687x = 68,054 × 68,054
4. Step 4: Simplify right side
   31,687x = 4,631,346,916
5. Step 5: Solve for x
   x = 4,631,346,916/31,687
6. Step 6: Final answer
   x = 146,159.21