Finding the Third Proportional to 31,364 and 67,524

Step by Step Solution

1. Step 1: Write the proportion equation
   31,364 : 67,524 = 67,524 : x
2. Step 2: Convert to fraction form
   31,364/67,524 = 67,524/x
3. Step 3: Cross multiply
   31,364x = 67,524 × 67,524
4. Step 4: Simplify right side
   31,364x = 4,559,490,576
5. Step 5: Solve for x
   x = 4,559,490,576/31,364
6. Step 6: Final answer
   x = 145,373.38