Finding the Third Proportional to 14,596 and 23,250

Step by Step Solution

1. Step 1: Write the proportion equation
   14,596 : 23,250 = 23,250 : x
2. Step 2: Convert to fraction form
   14,596/23,250 = 23,250/x
3. Step 3: Cross multiply
   14,596x = 23,250 × 23,250
4. Step 4: Simplify right side
   14,596x = 540,562,500
5. Step 5: Solve for x
   x = 540,562,500/14,596
6. Step 6: Final answer
   x = 37,034.98