Finding the Third Proportional to 37,496.25 and 81,219.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,496.25 : 81,219.38 = 81,219.38 : x
2. Step 2: Convert to fraction form
   37,496.25/81,219.38 = 81,219.38/x
3. Step 3: Cross multiply
   37,496.25x = 81,219.38 × 81,219.38
4. Step 4: Simplify right side
   37,496.25x = 6,596,586,875.39
5. Step 5: Solve for x
   x = 6,596,586,875.39/37,496.25
6. Step 6: Final answer
   x = 175,926.58