Finding the Third Proportional to 25,600.78 and 37,426.78

Step by Step Solution

1. Step 1: Write the proportion equation
   25,600.78 : 37,426.78 = 37,426.78 : x
2. Step 2: Convert to fraction form
   25,600.78/37,426.78 = 37,426.78/x
3. Step 3: Cross multiply
   25,600.78x = 37,426.78 × 37,426.78
4. Step 4: Simplify right side
   25,600.78x = 1,400,763,954.74
5. Step 5: Solve for x
   x = 1,400,763,954.74/25,600.78
6. Step 6: Final answer
   x = 54,715.67