Finding the Third Proportional to 10,258.73 and 14,669.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.73 : 14,669.86 = 14,669.86 : x
2. Step 2: Convert to fraction form
   10,258.73/14,669.86 = 14,669.86/x
3. Step 3: Cross multiply
   10,258.73x = 14,669.86 × 14,669.86
4. Step 4: Simplify right side
   10,258.73x = 215,204,774.08
5. Step 5: Solve for x
   x = 215,204,774.08/10,258.73
6. Step 6: Final answer
   x = 20,977.71