Finding the Third Proportional to 35,854 and 55,019

Step by Step Solution

1. Step 1: Write the proportion equation
   35,854 : 55,019 = 55,019 : x
2. Step 2: Convert to fraction form
   35,854/55,019 = 55,019/x
3. Step 3: Cross multiply
   35,854x = 55,019 × 55,019
4. Step 4: Simplify right side
   35,854x = 3,027,090,361
5. Step 5: Solve for x
   x = 3,027,090,361/35,854
6. Step 6: Final answer
   x = 84,428.25