Finding the Third Proportional to 35,684 and 55,502

Step by Step Solution

1. Step 1: Write the proportion equation
   35,684 : 55,502 = 55,502 : x
2. Step 2: Convert to fraction form
   35,684/55,502 = 55,502/x
3. Step 3: Cross multiply
   35,684x = 55,502 × 55,502
4. Step 4: Simplify right side
   35,684x = 3,080,472,004
5. Step 5: Solve for x
   x = 3,080,472,004/35,684
6. Step 6: Final answer
   x = 86,326.42