Finding the Third Proportional to 5,302.69 and 10,471.47

Step by Step Solution

1. Step 1: Write the proportion equation
   5,302.69 : 10,471.47 = 10,471.47 : x
2. Step 2: Convert to fraction form
   5,302.69/10,471.47 = 10,471.47/x
3. Step 3: Cross multiply
   5,302.69x = 10,471.47 × 10,471.47
4. Step 4: Simplify right side
   5,302.69x = 109,651,657.78
5. Step 5: Solve for x
   x = 109,651,657.78/5,302.69
6. Step 6: Final answer
   x = 20,678.51