Finding the Third Proportional to 35,666 and 55,447

Step by Step Solution

1. Step 1: Write the proportion equation
   35,666 : 55,447 = 55,447 : x
2. Step 2: Convert to fraction form
   35,666/55,447 = 55,447/x
3. Step 3: Cross multiply
   35,666x = 55,447 × 55,447
4. Step 4: Simplify right side
   35,666x = 3,074,369,809
5. Step 5: Solve for x
   x = 3,074,369,809/35,666
6. Step 6: Final answer
   x = 86,198.90