Finding the Third Proportional to 22,769 and 35,641

Step by Step Solution

1. Step 1: Write the proportion equation
   22,769 : 35,641 = 35,641 : x
2. Step 2: Convert to fraction form
   22,769/35,641 = 35,641/x
3. Step 3: Cross multiply
   22,769x = 35,641 × 35,641
4. Step 4: Simplify right side
   22,769x = 1,270,280,881
5. Step 5: Solve for x
   x = 1,270,280,881/22,769
6. Step 6: Final answer
   x = 55,789.93