Finding the Third Proportional to 37,535.91 and 81,997.31

Step by Step Solution

1. Step 1: Write the proportion equation
   37,535.91 : 81,997.31 = 81,997.31 : x
2. Step 2: Convert to fraction form
   37,535.91/81,997.31 = 81,997.31/x
3. Step 3: Cross multiply
   37,535.91x = 81,997.31 × 81,997.31
4. Step 4: Simplify right side
   37,535.91x = 6,723,559,257.22
5. Step 5: Solve for x
   x = 6,723,559,257.22/37,535.91
6. Step 6: Final answer
   x = 179,123.40