Finding the Third Proportional to 37,164 and 55,662

Step by Step Solution

1. Step 1: Write the proportion equation
   37,164 : 55,662 = 55,662 : x
2. Step 2: Convert to fraction form
   37,164/55,662 = 55,662/x
3. Step 3: Cross multiply
   37,164x = 55,662 × 55,662
4. Step 4: Simplify right side
   37,164x = 3,098,258,244
5. Step 5: Solve for x
   x = 3,098,258,244/37,164
6. Step 6: Final answer
   x = 83,367.19