Finding the Third Proportional to 5,838 and 10,470

Step by Step Solution

1. Step 1: Write the proportion equation
   5,838 : 10,470 = 10,470 : x
2. Step 2: Convert to fraction form
   5,838/10,470 = 10,470/x
3. Step 3: Cross multiply
   5,838x = 10,470 × 10,470
4. Step 4: Simplify right side
   5,838x = 109,620,900
5. Step 5: Solve for x
   x = 109,620,900/5,838
6. Step 6: Final answer
   x = 18,777.13