Finding the Third Proportional to 49,790 and 73,677

Step by Step Solution

1. Step 1: Write the proportion equation
   49,790 : 73,677 = 73,677 : x
2. Step 2: Convert to fraction form
   49,790/73,677 = 73,677/x
3. Step 3: Cross multiply
   49,790x = 73,677 × 73,677
4. Step 4: Simplify right side
   49,790x = 5,428,300,329
5. Step 5: Solve for x
   x = 5,428,300,329/49,790
6. Step 6: Final answer
   x = 109,023.91