Finding the Third Proportional to 10,026 and 17,784

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026 : 17,784 = 17,784 : x
2. Step 2: Convert to fraction form
   10,026/17,784 = 17,784/x
3. Step 3: Cross multiply
   10,026x = 17,784 × 17,784
4. Step 4: Simplify right side
   10,026x = 316,270,656
5. Step 5: Solve for x
   x = 316,270,656/10,026
6. Step 6: Final answer
   x = 31,545.05