Finding the Third Proportional to 23,980 and 35,724

Step by Step Solution

1. Step 1: Write the proportion equation
   23,980 : 35,724 = 35,724 : x
2. Step 2: Convert to fraction form
   23,980/35,724 = 35,724/x
3. Step 3: Cross multiply
   23,980x = 35,724 × 35,724
4. Step 4: Simplify right side
   23,980x = 1,276,204,176
5. Step 5: Solve for x
   x = 1,276,204,176/23,980
6. Step 6: Final answer
   x = 53,219.52