Finding the Third Proportional to 31,436 and 68,702

Step by Step Solution

1. Step 1: Write the proportion equation
   31,436 : 68,702 = 68,702 : x
2. Step 2: Convert to fraction form
   31,436/68,702 = 68,702/x
3. Step 3: Cross multiply
   31,436x = 68,702 × 68,702
4. Step 4: Simplify right side
   31,436x = 4,719,964,804
5. Step 5: Solve for x
   x = 4,719,964,804/31,436
6. Step 6: Final answer
   x = 150,145.21