Finding the Third Proportional to 24,606 and 57,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,606 : 57,766.50 = 57,766.50 : x
2. Step 2: Convert to fraction form
   24,606/57,766.50 = 57,766.50/x
3. Step 3: Cross multiply
   24,606x = 57,766.50 × 57,766.50
4. Step 4: Simplify right side
   24,606x = 3,336,968,522.25
5. Step 5: Solve for x
   x = 3,336,968,522.25/24,606
6. Step 6: Final answer
   x = 135,616.05