Finding the Third Proportional to 24,609 and 57,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,609 : 57,774.50 = 57,774.50 : x
2. Step 2: Convert to fraction form
   24,609/57,774.50 = 57,774.50/x
3. Step 3: Cross multiply
   24,609x = 57,774.50 × 57,774.50
4. Step 4: Simplify right side
   24,609x = 3,337,892,850.25
5. Step 5: Solve for x
   x = 3,337,892,850.25/24,609
6. Step 6: Final answer
   x = 135,637.08