Finding the Third Proportional to 25,145 and 37,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,145 : 37,723.50 = 37,723.50 : x
2. Step 2: Convert to fraction form
   25,145/37,723.50 = 37,723.50/x
3. Step 3: Cross multiply
   25,145x = 37,723.50 × 37,723.50
4. Step 4: Simplify right side
   25,145x = 1,423,062,452.25
5. Step 5: Solve for x
   x = 1,423,062,452.25/25,145
6. Step 6: Final answer
   x = 56,594.25