Finding the Third Proportional to 10,900 and 16,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,900 : 16,874.50 = 16,874.50 : x
2. Step 2: Convert to fraction form
   10,900/16,874.50 = 16,874.50/x
3. Step 3: Cross multiply
   10,900x = 16,874.50 × 16,874.50
4. Step 4: Simplify right side
   10,900x = 284,748,750.25
5. Step 5: Solve for x
   x = 284,748,750.25/10,900
6. Step 6: Final answer
   x = 26,123.74