Finding the Third Proportional to 35,838 and 55,605

Step by Step Solution

1. Step 1: Write the proportion equation
   35,838 : 55,605 = 55,605 : x
2. Step 2: Convert to fraction form
   35,838/55,605 = 55,605/x
3. Step 3: Cross multiply
   35,838x = 55,605 × 55,605
4. Step 4: Simplify right side
   35,838x = 3,091,916,025
5. Step 5: Solve for x
   x = 3,091,916,025/35,838
6. Step 6: Final answer
   x = 86,274.79