Finding the Third Proportional to 11,506.50 and 23,832

Step by Step Solution

1. Step 1: Write the proportion equation
   11,506.50 : 23,832 = 23,832 : x
2. Step 2: Convert to fraction form
   11,506.50/23,832 = 23,832/x
3. Step 3: Cross multiply
   11,506.50x = 23,832 × 23,832
4. Step 4: Simplify right side
   11,506.50x = 567,964,224
5. Step 5: Solve for x
   x = 567,964,224/11,506.50
6. Step 6: Final answer
   x = 49,360.29