Finding the Third Proportional to 37,200 and 52,029

Step by Step Solution

1. Step 1: Write the proportion equation
   37,200 : 52,029 = 52,029 : x
2. Step 2: Convert to fraction form
   37,200/52,029 = 52,029/x
3. Step 3: Cross multiply
   37,200x = 52,029 × 52,029
4. Step 4: Simplify right side
   37,200x = 2,707,016,841
5. Step 5: Solve for x
   x = 2,707,016,841/37,200
6. Step 6: Final answer
   x = 72,769.27