Finding the Third Proportional to 31,410 and 68,272

Step by Step Solution

1. Step 1: Write the proportion equation
   31,410 : 68,272 = 68,272 : x
2. Step 2: Convert to fraction form
   31,410/68,272 = 68,272/x
3. Step 3: Cross multiply
   31,410x = 68,272 × 68,272
4. Step 4: Simplify right side
   31,410x = 4,661,065,984
5. Step 5: Solve for x
   x = 4,661,065,984/31,410
6. Step 6: Final answer
   x = 148,394.33