Finding the Third Proportional to 24,138 and 34,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,138 : 34,654.50 = 34,654.50 : x
2. Step 2: Convert to fraction form
   24,138/34,654.50 = 34,654.50/x
3. Step 3: Cross multiply
   24,138x = 34,654.50 × 34,654.50
4. Step 4: Simplify right side
   24,138x = 1,200,934,370.25
5. Step 5: Solve for x
   x = 1,200,934,370.25/24,138
6. Step 6: Final answer
   x = 49,752.85