Finding the Third Proportional to 11,822 and 17,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,822 : 17,978.50 = 17,978.50 : x
2. Step 2: Convert to fraction form
   11,822/17,978.50 = 17,978.50/x
3. Step 3: Cross multiply
   11,822x = 17,978.50 × 17,978.50
4. Step 4: Simplify right side
   11,822x = 323,226,462.25
5. Step 5: Solve for x
   x = 323,226,462.25/11,822
6. Step 6: Final answer
   x = 27,341.10