Finding the Third Proportional to 25,828 and 37,870

Step by Step Solution

1. Step 1: Write the proportion equation
   25,828 : 37,870 = 37,870 : x
2. Step 2: Convert to fraction form
   25,828/37,870 = 37,870/x
3. Step 3: Cross multiply
   25,828x = 37,870 × 37,870
4. Step 4: Simplify right side
   25,828x = 1,434,136,900
5. Step 5: Solve for x
   x = 1,434,136,900/25,828
6. Step 6: Final answer
   x = 55,526.44