Finding the Third Proportional to 11,784 and 17,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,784 : 17,041.50 = 17,041.50 : x
2. Step 2: Convert to fraction form
   11,784/17,041.50 = 17,041.50/x
3. Step 3: Cross multiply
   11,784x = 17,041.50 × 17,041.50
4. Step 4: Simplify right side
   11,784x = 290,412,722.25
5. Step 5: Solve for x
   x = 290,412,722.25/11,784
6. Step 6: Final answer
   x = 24,644.66