Finding the Third Proportional to 31,648 and 67,532

Step by Step Solution

1. Step 1: Write the proportion equation
   31,648 : 67,532 = 67,532 : x
2. Step 2: Convert to fraction form
   31,648/67,532 = 67,532/x
3. Step 3: Cross multiply
   31,648x = 67,532 × 67,532
4. Step 4: Simplify right side
   31,648x = 4,560,571,024
5. Step 5: Solve for x
   x = 4,560,571,024/31,648
6. Step 6: Final answer
   x = 144,102.98