Finding the Third Proportional to 37,836 and 55,708

Step by Step Solution

1. Step 1: Write the proportion equation
   37,836 : 55,708 = 55,708 : x
2. Step 2: Convert to fraction form
   37,836/55,708 = 55,708/x
3. Step 3: Cross multiply
   37,836x = 55,708 × 55,708
4. Step 4: Simplify right side
   37,836x = 3,103,381,264
5. Step 5: Solve for x
   x = 3,103,381,264/37,836
6. Step 6: Final answer
   x = 82,021.92