Finding the Third Proportional to 25,504.50 and 37,478.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,504.50 : 37,478.25 = 37,478.25 : x
2. Step 2: Convert to fraction form
   25,504.50/37,478.25 = 37,478.25/x
3. Step 3: Cross multiply
   25,504.50x = 37,478.25 × 37,478.25
4. Step 4: Simplify right side
   25,504.50x = 1,404,619,223.06
5. Step 5: Solve for x
   x = 1,404,619,223.06/25,504.50
6. Step 6: Final answer
   x = 55,073.39