Finding the Third Proportional to 34,788 and 76,074

Step by Step Solution

1. Step 1: Write the proportion equation
   34,788 : 76,074 = 76,074 : x
2. Step 2: Convert to fraction form
   34,788/76,074 = 76,074/x
3. Step 3: Cross multiply
   34,788x = 76,074 × 76,074
4. Step 4: Simplify right side
   34,788x = 5,787,253,476
5. Step 5: Solve for x
   x = 5,787,253,476/34,788
6. Step 6: Final answer
   x = 166,357.75