Finding the Third Proportional to 25,141.50 and 37,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,141.50 : 37,277.50 = 37,277.50 : x
2. Step 2: Convert to fraction form
   25,141.50/37,277.50 = 37,277.50/x
3. Step 3: Cross multiply
   25,141.50x = 37,277.50 × 37,277.50
4. Step 4: Simplify right side
   25,141.50x = 1,389,612,006.25
5. Step 5: Solve for x
   x = 1,389,612,006.25/25,141.50
6. Step 6: Final answer
   x = 55,271.64