Finding the Third Proportional to 32,074 and 49,786

Step by Step Solution

1. Step 1: Write the proportion equation
   32,074 : 49,786 = 49,786 : x
2. Step 2: Convert to fraction form
   32,074/49,786 = 49,786/x
3. Step 3: Cross multiply
   32,074x = 49,786 × 49,786
4. Step 4: Simplify right side
   32,074x = 2,478,645,796
5. Step 5: Solve for x
   x = 2,478,645,796/32,074
6. Step 6: Final answer
   x = 77,278.97