Finding the Third Proportional to 49,614 and 72,231

Step by Step Solution

1. Step 1: Write the proportion equation
   49,614 : 72,231 = 72,231 : x
2. Step 2: Convert to fraction form
   49,614/72,231 = 72,231/x
3. Step 3: Cross multiply
   49,614x = 72,231 × 72,231
4. Step 4: Simplify right side
   49,614x = 5,217,317,361
5. Step 5: Solve for x
   x = 5,217,317,361/49,614
6. Step 6: Final answer
   x = 105,158.17