Finding the Third Proportional to 24,684 and 35,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,684 : 35,178.50 = 35,178.50 : x
2. Step 2: Convert to fraction form
   24,684/35,178.50 = 35,178.50/x
3. Step 3: Cross multiply
   24,684x = 35,178.50 × 35,178.50
4. Step 4: Simplify right side
   24,684x = 1,237,526,862.25
5. Step 5: Solve for x
   x = 1,237,526,862.25/24,684
6. Step 6: Final answer
   x = 50,134.78