Finding the Third Proportional to 25,216 and 37,760

Step by Step Solution

1. Step 1: Write the proportion equation
   25,216 : 37,760 = 37,760 : x
2. Step 2: Convert to fraction form
   25,216/37,760 = 37,760/x
3. Step 3: Cross multiply
   25,216x = 37,760 × 37,760
4. Step 4: Simplify right side
   25,216x = 1,425,817,600
5. Step 5: Solve for x
   x = 1,425,817,600/25,216
6. Step 6: Final answer
   x = 56,544.16