Finding the Third Proportional to 35,724 and 53,910

Step by Step Solution

1. Step 1: Write the proportion equation
   35,724 : 53,910 = 53,910 : x
2. Step 2: Convert to fraction form
   35,724/53,910 = 53,910/x
3. Step 3: Cross multiply
   35,724x = 53,910 × 53,910
4. Step 4: Simplify right side
   35,724x = 2,906,288,100
5. Step 5: Solve for x
   x = 2,906,288,100/35,724
6. Step 6: Final answer
   x = 81,353.94