Finding the Third Proportional to 37,735.50 and 82,032

Step by Step Solution

1. Step 1: Write the proportion equation
   37,735.50 : 82,032 = 82,032 : x
2. Step 2: Convert to fraction form
   37,735.50/82,032 = 82,032/x
3. Step 3: Cross multiply
   37,735.50x = 82,032 × 82,032
4. Step 4: Simplify right side
   37,735.50x = 6,729,249,024
5. Step 5: Solve for x
   x = 6,729,249,024/37,735.50
6. Step 6: Final answer
   x = 178,326.75