Finding the Third Proportional to 10,900 and 15,349.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,900 : 15,349.50 = 15,349.50 : x
2. Step 2: Convert to fraction form
   10,900/15,349.50 = 15,349.50/x
3. Step 3: Cross multiply
   10,900x = 15,349.50 × 15,349.50
4. Step 4: Simplify right side
   10,900x = 235,607,150.25
5. Step 5: Solve for x
   x = 235,607,150.25/10,900
6. Step 6: Final answer
   x = 21,615.33