Finding the Third Proportional to 30,836 and 34,076

Step by Step Solution

1. Step 1: Write the proportion equation
   30,836 : 34,076 = 34,076 : x
2. Step 2: Convert to fraction form
   30,836/34,076 = 34,076/x
3. Step 3: Cross multiply
   30,836x = 34,076 × 34,076
4. Step 4: Simplify right side
   30,836x = 1,161,173,776
5. Step 5: Solve for x
   x = 1,161,173,776/30,836
6. Step 6: Final answer
   x = 37,656.43