Finding the Third Proportional to 37,844 and 80,300

Step by Step Solution

1. Step 1: Write the proportion equation
   37,844 : 80,300 = 80,300 : x
2. Step 2: Convert to fraction form
   37,844/80,300 = 80,300/x
3. Step 3: Cross multiply
   37,844x = 80,300 × 80,300
4. Step 4: Simplify right side
   37,844x = 6,448,090,000
5. Step 5: Solve for x
   x = 6,448,090,000/37,844
6. Step 6: Final answer
   x = 170,386.06