Finding the Third Proportional to 11,564 and 18,293.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564 : 18,293.63 = 18,293.63 : x
2. Step 2: Convert to fraction form
   11,564/18,293.63 = 18,293.63/x
3. Step 3: Cross multiply
   11,564x = 18,293.63 × 18,293.63
4. Step 4: Simplify right side
   11,564x = 334,656,715.64
5. Step 5: Solve for x
   x = 334,656,715.64/11,564
6. Step 6: Final answer
   x = 28,939.53