Finding the Third Proportional to 22,560 and 35,127

Step by Step Solution

1. Step 1: Write the proportion equation
   22,560 : 35,127 = 35,127 : x
2. Step 2: Convert to fraction form
   22,560/35,127 = 35,127/x
3. Step 3: Cross multiply
   22,560x = 35,127 × 35,127
4. Step 4: Simplify right side
   22,560x = 1,233,906,129
5. Step 5: Solve for x
   x = 1,233,906,129/22,560
6. Step 6: Final answer
   x = 54,694.42