Finding the Third Proportional to 11,700 and 22,323

Step by Step Solution

1. Step 1: Write the proportion equation
   11,700 : 22,323 = 22,323 : x
2. Step 2: Convert to fraction form
   11,700/22,323 = 22,323/x
3. Step 3: Cross multiply
   11,700x = 22,323 × 22,323
4. Step 4: Simplify right side
   11,700x = 498,316,329
5. Step 5: Solve for x
   x = 498,316,329/11,700
6. Step 6: Final answer
   x = 42,591.14