Finding the Third Proportional to 14,578 and 34,905

Step by Step Solution

1. Step 1: Write the proportion equation
   14,578 : 34,905 = 34,905 : x
2. Step 2: Convert to fraction form
   14,578/34,905 = 34,905/x
3. Step 3: Cross multiply
   14,578x = 34,905 × 34,905
4. Step 4: Simplify right side
   14,578x = 1,218,359,025
5. Step 5: Solve for x
   x = 1,218,359,025/14,578
6. Step 6: Final answer
   x = 83,575.18