Finding the Third Proportional to 31,627 and 68,141

Step by Step Solution

1. Step 1: Write the proportion equation
   31,627 : 68,141 = 68,141 : x
2. Step 2: Convert to fraction form
   31,627/68,141 = 68,141/x
3. Step 3: Cross multiply
   31,627x = 68,141 × 68,141
4. Step 4: Simplify right side
   31,627x = 4,643,195,881
5. Step 5: Solve for x
   x = 4,643,195,881/31,627
6. Step 6: Final answer
   x = 146,811.14