Finding the Third Proportional to 30,834 and 34,074

Step by Step Solution

1. Step 1: Write the proportion equation
   30,834 : 34,074 = 34,074 : x
2. Step 2: Convert to fraction form
   30,834/34,074 = 34,074/x
3. Step 3: Cross multiply
   30,834x = 34,074 × 34,074
4. Step 4: Simplify right side
   30,834x = 1,161,037,476
5. Step 5: Solve for x
   x = 1,161,037,476/30,834
6. Step 6: Final answer
   x = 37,654.46