Finding the Third Proportional to 37,200 and 52,032

Step by Step Solution

1. Step 1: Write the proportion equation
   37,200 : 52,032 = 52,032 : x
2. Step 2: Convert to fraction form
   37,200/52,032 = 52,032/x
3. Step 3: Cross multiply
   37,200x = 52,032 × 52,032
4. Step 4: Simplify right side
   37,200x = 2,707,329,024
5. Step 5: Solve for x
   x = 2,707,329,024/37,200
6. Step 6: Final answer
   x = 72,777.66