Finding the Third Proportional to 37,268 and 52,176

Step by Step Solution

1. Step 1: Write the proportion equation
   37,268 : 52,176 = 52,176 : x
2. Step 2: Convert to fraction form
   37,268/52,176 = 52,176/x
3. Step 3: Cross multiply
   37,268x = 52,176 × 52,176
4. Step 4: Simplify right side
   37,268x = 2,722,334,976
5. Step 5: Solve for x
   x = 2,722,334,976/37,268
6. Step 6: Final answer
   x = 73,047.52