Finding the Third Proportional to 49,596 and 72,204

Step by Step Solution

1. Step 1: Write the proportion equation
   49,596 : 72,204 = 72,204 : x
2. Step 2: Convert to fraction form
   49,596/72,204 = 72,204/x
3. Step 3: Cross multiply
   49,596x = 72,204 × 72,204
4. Step 4: Simplify right side
   49,596x = 5,213,417,616
5. Step 5: Solve for x
   x = 5,213,417,616/49,596
6. Step 6: Final answer
   x = 105,117.70