Finding the Third Proportional to 30,834 and 45,816

Step by Step Solution

1. Step 1: Write the proportion equation
   30,834 : 45,816 = 45,816 : x
2. Step 2: Convert to fraction form
   30,834/45,816 = 45,816/x
3. Step 3: Cross multiply
   30,834x = 45,816 × 45,816
4. Step 4: Simplify right side
   30,834x = 2,099,105,856
5. Step 5: Solve for x
   x = 2,099,105,856/30,834
6. Step 6: Final answer
   x = 68,077.64