Finding the Third Proportional to 22,560 and 35,097

Step by Step Solution

1. Step 1: Write the proportion equation
   22,560 : 35,097 = 35,097 : x
2. Step 2: Convert to fraction form
   22,560/35,097 = 35,097/x
3. Step 3: Cross multiply
   22,560x = 35,097 × 35,097
4. Step 4: Simplify right side
   22,560x = 1,231,799,409
5. Step 5: Solve for x
   x = 1,231,799,409/22,560
6. Step 6: Final answer
   x = 54,601.04