Finding the Third Proportional to 49,326 and 72,341

Step by Step Solution

1. Step 1: Write the proportion equation
   49,326 : 72,341 = 72,341 : x
2. Step 2: Convert to fraction form
   49,326/72,341 = 72,341/x
3. Step 3: Cross multiply
   49,326x = 72,341 × 72,341
4. Step 4: Simplify right side
   49,326x = 5,233,220,281
5. Step 5: Solve for x
   x = 5,233,220,281/49,326
6. Step 6: Final answer
   x = 106,094.56