Finding the Third Proportional to 25,314.75 and 37,766.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,314.75 : 37,766.25 = 37,766.25 : x
2. Step 2: Convert to fraction form
   25,314.75/37,766.25 = 37,766.25/x
3. Step 3: Cross multiply
   25,314.75x = 37,766.25 × 37,766.25
4. Step 4: Simplify right side
   25,314.75x = 1,426,289,639.06
5. Step 5: Solve for x
   x = 1,426,289,639.06/25,314.75
6. Step 6: Final answer
   x = 56,342.24