Finding the Third Proportional to 11,178 and 24,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,178 : 24,178.50 = 24,178.50 : x
2. Step 2: Convert to fraction form
   11,178/24,178.50 = 24,178.50/x
3. Step 3: Cross multiply
   11,178x = 24,178.50 × 24,178.50
4. Step 4: Simplify right side
   11,178x = 584,599,862.25
5. Step 5: Solve for x
   x = 584,599,862.25/11,178
6. Step 6: Final answer
   x = 52,299.15