Finding the Third Proportional to 24,508 and 34,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,508 : 34,513.50 = 34,513.50 : x
2. Step 2: Convert to fraction form
   24,508/34,513.50 = 34,513.50/x
3. Step 3: Cross multiply
   24,508x = 34,513.50 × 34,513.50
4. Step 4: Simplify right side
   24,508x = 1,191,181,682.25
5. Step 5: Solve for x
   x = 1,191,181,682.25/24,508
6. Step 6: Final answer
   x = 48,603.79