Finding the Third Proportional to 31,200 and 68,412

Step by Step Solution

1. Step 1: Write the proportion equation
   31,200 : 68,412 = 68,412 : x
2. Step 2: Convert to fraction form
   31,200/68,412 = 68,412/x
3. Step 3: Cross multiply
   31,200x = 68,412 × 68,412
4. Step 4: Simplify right side
   31,200x = 4,680,201,744
5. Step 5: Solve for x
   x = 4,680,201,744/31,200
6. Step 6: Final answer
   x = 150,006.47