Finding the Third Proportional to 9,900 and 23,366

Step by Step Solution

1. Step 1: Write the proportion equation
   9,900 : 23,366 = 23,366 : x
2. Step 2: Convert to fraction form
   9,900/23,366 = 23,366/x
3. Step 3: Cross multiply
   9,900x = 23,366 × 23,366
4. Step 4: Simplify right side
   9,900x = 545,969,956
5. Step 5: Solve for x
   x = 545,969,956/9,900
6. Step 6: Final answer
   x = 55,148.48