Finding the Third Proportional to 24,178.50 and 35,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,178.50 : 35,806.50 = 35,806.50 : x
2. Step 2: Convert to fraction form
   24,178.50/35,806.50 = 35,806.50/x
3. Step 3: Cross multiply
   24,178.50x = 35,806.50 × 35,806.50
4. Step 4: Simplify right side
   24,178.50x = 1,282,105,442.25
5. Step 5: Solve for x
   x = 1,282,105,442.25/24,178.50
6. Step 6: Final answer
   x = 53,026.67