Finding the Third Proportional to 14,630 and 34,516

Step by Step Solution

1. Step 1: Write the proportion equation
   14,630 : 34,516 = 34,516 : x
2. Step 2: Convert to fraction form
   14,630/34,516 = 34,516/x
3. Step 3: Cross multiply
   14,630x = 34,516 × 34,516
4. Step 4: Simplify right side
   14,630x = 1,191,354,256
5. Step 5: Solve for x
   x = 1,191,354,256/14,630
6. Step 6: Final answer
   x = 81,432.28