Finding the Third Proportional to 31,212 and 68,264

Step by Step Solution

1. Step 1: Write the proportion equation
   31,212 : 68,264 = 68,264 : x
2. Step 2: Convert to fraction form
   31,212/68,264 = 68,264/x
3. Step 3: Cross multiply
   31,212x = 68,264 × 68,264
4. Step 4: Simplify right side
   31,212x = 4,659,973,696
5. Step 5: Solve for x
   x = 4,659,973,696/31,212
6. Step 6: Final answer
   x = 149,300.71