Finding the Third Proportional to 37,408 and 56,204

Step by Step Solution

1. Step 1: Write the proportion equation
   37,408 : 56,204 = 56,204 : x
2. Step 2: Convert to fraction form
   37,408/56,204 = 56,204/x
3. Step 3: Cross multiply
   37,408x = 56,204 × 56,204
4. Step 4: Simplify right side
   37,408x = 3,158,889,616
5. Step 5: Solve for x
   x = 3,158,889,616/37,408
6. Step 6: Final answer
   x = 84,444.23