Finding the Third Proportional to 37,696 and 56,504

Step by Step Solution

1. Step 1: Write the proportion equation
   37,696 : 56,504 = 56,504 : x
2. Step 2: Convert to fraction form
   37,696/56,504 = 56,504/x
3. Step 3: Cross multiply
   37,696x = 56,504 × 56,504
4. Step 4: Simplify right side
   37,696x = 3,192,702,016
5. Step 5: Solve for x
   x = 3,192,702,016/37,696
6. Step 6: Final answer
   x = 84,696.04