Finding the Third Proportional to 37,399.50 and 81,819

Step by Step Solution

1. Step 1: Write the proportion equation
   37,399.50 : 81,819 = 81,819 : x
2. Step 2: Convert to fraction form
   37,399.50/81,819 = 81,819/x
3. Step 3: Cross multiply
   37,399.50x = 81,819 × 81,819
4. Step 4: Simplify right side
   37,399.50x = 6,694,348,761
5. Step 5: Solve for x
   x = 6,694,348,761/37,399.50
6. Step 6: Final answer
   x = 178,995.68