Finding the Third Proportional to 14,814 and 34,065

Step by Step Solution

1. Step 1: Write the proportion equation
   14,814 : 34,065 = 34,065 : x
2. Step 2: Convert to fraction form
   14,814/34,065 = 34,065/x
3. Step 3: Cross multiply
   14,814x = 34,065 × 34,065
4. Step 4: Simplify right side
   14,814x = 1,160,424,225
5. Step 5: Solve for x
   x = 1,160,424,225/14,814
6. Step 6: Final answer
   x = 78,332.94