Finding the Third Proportional to 25,160 and 35,868

Step by Step Solution

1. Step 1: Write the proportion equation
   25,160 : 35,868 = 35,868 : x
2. Step 2: Convert to fraction form
   25,160/35,868 = 35,868/x
3. Step 3: Cross multiply
   25,160x = 35,868 × 35,868
4. Step 4: Simplify right side
   25,160x = 1,286,513,424
5. Step 5: Solve for x
   x = 1,286,513,424/25,160
6. Step 6: Final answer
   x = 51,133.28