Finding the Third Proportional to 35,846 and 55,007

Step by Step Solution

1. Step 1: Write the proportion equation
   35,846 : 55,007 = 55,007 : x
2. Step 2: Convert to fraction form
   35,846/55,007 = 55,007/x
3. Step 3: Cross multiply
   35,846x = 55,007 × 55,007
4. Step 4: Simplify right side
   35,846x = 3,025,770,049
5. Step 5: Solve for x
   x = 3,025,770,049/35,846
6. Step 6: Final answer
   x = 84,410.26