Finding the Third Proportional to 24,504 and 34,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,504 : 34,507.50 = 34,507.50 : x
2. Step 2: Convert to fraction form
   24,504/34,507.50 = 34,507.50/x
3. Step 3: Cross multiply
   24,504x = 34,507.50 × 34,507.50
4. Step 4: Simplify right side
   24,504x = 1,190,767,556.25
5. Step 5: Solve for x
   x = 1,190,767,556.25/24,504
6. Step 6: Final answer
   x = 48,594.82