Finding the Third Proportional to 37,759 and 82,300

Step by Step Solution

1. Step 1: Write the proportion equation
   37,759 : 82,300 = 82,300 : x
2. Step 2: Convert to fraction form
   37,759/82,300 = 82,300/x
3. Step 3: Cross multiply
   37,759x = 82,300 × 82,300
4. Step 4: Simplify right side
   37,759x = 6,773,290,000
5. Step 5: Solve for x
   x = 6,773,290,000/37,759
6. Step 6: Final answer
   x = 179,382.13