Finding the Third Proportional to 10,471.78 and 14,648.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,471.78 : 14,648.34 = 14,648.34 : x
2. Step 2: Convert to fraction form
   10,471.78/14,648.34 = 14,648.34/x
3. Step 3: Cross multiply
   10,471.78x = 14,648.34 × 14,648.34
4. Step 4: Simplify right side
   10,471.78x = 214,573,974.62
5. Step 5: Solve for x
   x = 214,573,974.62/10,471.78
6. Step 6: Final answer
   x = 20,490.69