Finding the Third Proportional to 11,466.38 and 23,646.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,466.38 : 23,646.75 = 23,646.75 : x
2. Step 2: Convert to fraction form
   11,466.38/23,646.75 = 23,646.75/x
3. Step 3: Cross multiply
   11,466.38x = 23,646.75 × 23,646.75
4. Step 4: Simplify right side
   11,466.38x = 559,168,785.56
5. Step 5: Solve for x
   x = 559,168,785.56/11,466.38
6. Step 6: Final answer
   x = 48,765.96