Finding the Third Proportional to 37,793 and 82,147

Step by Step Solution

1. Step 1: Write the proportion equation
   37,793 : 82,147 = 82,147 : x
2. Step 2: Convert to fraction form
   37,793/82,147 = 82,147/x
3. Step 3: Cross multiply
   37,793x = 82,147 × 82,147
4. Step 4: Simplify right side
   37,793x = 6,748,129,609
5. Step 5: Solve for x
   x = 6,748,129,609/37,793
6. Step 6: Final answer
   x = 178,555.01