Finding the Third Proportional to 37,387.50 and 82,551

Step by Step Solution

1. Step 1: Write the proportion equation
   37,387.50 : 82,551 = 82,551 : x
2. Step 2: Convert to fraction form
   37,387.50/82,551 = 82,551/x
3. Step 3: Cross multiply
   37,387.50x = 82,551 × 82,551
4. Step 4: Simplify right side
   37,387.50x = 6,814,667,601
5. Step 5: Solve for x
   x = 6,814,667,601/37,387.50
6. Step 6: Final answer
   x = 182,271.28