Finding the Third Proportional to 10,470 and 22,784

Step by Step Solution

1. Step 1: Write the proportion equation
   10,470 : 22,784 = 22,784 : x
2. Step 2: Convert to fraction form
   10,470/22,784 = 22,784/x
3. Step 3: Cross multiply
   10,470x = 22,784 × 22,784
4. Step 4: Simplify right side
   10,470x = 519,110,656
5. Step 5: Solve for x
   x = 519,110,656/10,470
6. Step 6: Final answer
   x = 49,580.77