Finding the Third Proportional to 25,609.50 and 34,523.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,609.50 : 34,523.25 = 34,523.25 : x
2. Step 2: Convert to fraction form
   25,609.50/34,523.25 = 34,523.25/x
3. Step 3: Cross multiply
   25,609.50x = 34,523.25 × 34,523.25
4. Step 4: Simplify right side
   25,609.50x = 1,191,854,790.56
5. Step 5: Solve for x
   x = 1,191,854,790.56/25,609.50
6. Step 6: Final answer
   x = 46,539.56