Finding the Third Proportional to 10,384 and 23,072

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384 : 23,072 = 23,072 : x
2. Step 2: Convert to fraction form
   10,384/23,072 = 23,072/x
3. Step 3: Cross multiply
   10,384x = 23,072 × 23,072
4. Step 4: Simplify right side
   10,384x = 532,317,184
5. Step 5: Solve for x
   x = 532,317,184/10,384
6. Step 6: Final answer
   x = 51,263.21