Finding the Third Proportional to 37,588 and 81,800

Step by Step Solution

1. Step 1: Write the proportion equation
   37,588 : 81,800 = 81,800 : x
2. Step 2: Convert to fraction form
   37,588/81,800 = 81,800/x
3. Step 3: Cross multiply
   37,588x = 81,800 × 81,800
4. Step 4: Simplify right side
   37,588x = 6,691,240,000
5. Step 5: Solve for x
   x = 6,691,240,000/37,588
6. Step 6: Final answer
   x = 178,015.32