Finding the Third Proportional to 37,683.38 and 82,428.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,683.38 : 82,428.88 = 82,428.88 : x
2. Step 2: Convert to fraction form
   37,683.38/82,428.88 = 82,428.88/x
3. Step 3: Cross multiply
   37,683.38x = 82,428.88 × 82,428.88
4. Step 4: Simplify right side
   37,683.38x = 6,794,519,433.77
5. Step 5: Solve for x
   x = 6,794,519,433.77/37,683.38
6. Step 6: Final answer
   x = 180,305.49