Finding the Third Proportional to 14,658 and 28,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,658 : 28,582.50 = 28,582.50 : x
2. Step 2: Convert to fraction form
   14,658/28,582.50 = 28,582.50/x
3. Step 3: Cross multiply
   14,658x = 28,582.50 × 28,582.50
4. Step 4: Simplify right side
   14,658x = 816,959,306.25
5. Step 5: Solve for x
   x = 816,959,306.25/14,658
6. Step 6: Final answer
   x = 55,734.71