Finding the Third Proportional to 14,658 and 34,590

Step by Step Solution

1. Step 1: Write the proportion equation
   14,658 : 34,590 = 34,590 : x
2. Step 2: Convert to fraction form
   14,658/34,590 = 34,590/x
3. Step 3: Cross multiply
   14,658x = 34,590 × 34,590
4. Step 4: Simplify right side
   14,658x = 1,196,468,100
5. Step 5: Solve for x
   x = 1,196,468,100/14,658
6. Step 6: Final answer
   x = 81,625.60