Finding the Third Proportional to 35,606 and 55,853

Step by Step Solution

1. Step 1: Write the proportion equation
   35,606 : 55,853 = 55,853 : x
2. Step 2: Convert to fraction form
   35,606/55,853 = 55,853/x
3. Step 3: Cross multiply
   35,606x = 55,853 × 55,853
4. Step 4: Simplify right side
   35,606x = 3,119,557,609
5. Step 5: Solve for x
   x = 3,119,557,609/35,606
6. Step 6: Final answer
   x = 87,613.26