Finding the Third Proportional to 11,300 and 16,364

Step by Step Solution

1. Step 1: Write the proportion equation
   11,300 : 16,364 = 16,364 : x
2. Step 2: Convert to fraction form
   11,300/16,364 = 16,364/x
3. Step 3: Cross multiply
   11,300x = 16,364 × 16,364
4. Step 4: Simplify right side
   11,300x = 267,780,496
5. Step 5: Solve for x
   x = 267,780,496/11,300
6. Step 6: Final answer
   x = 23,697.39