Finding the Third Proportional to 37,198 and 55,825

Step by Step Solution

1. Step 1: Write the proportion equation
   37,198 : 55,825 = 55,825 : x
2. Step 2: Convert to fraction form
   37,198/55,825 = 55,825/x
3. Step 3: Cross multiply
   37,198x = 55,825 × 55,825
4. Step 4: Simplify right side
   37,198x = 3,116,430,625
5. Step 5: Solve for x
   x = 3,116,430,625/37,198
6. Step 6: Final answer
   x = 83,779.52