Finding the Third Proportional to 37,700 and 55,404

Step by Step Solution

1. Step 1: Write the proportion equation
   37,700 : 55,404 = 55,404 : x
2. Step 2: Convert to fraction form
   37,700/55,404 = 55,404/x
3. Step 3: Cross multiply
   37,700x = 55,404 × 55,404
4. Step 4: Simplify right side
   37,700x = 3,069,603,216
5. Step 5: Solve for x
   x = 3,069,603,216/37,700
6. Step 6: Final answer
   x = 81,421.84