Finding the Third Proportional to 37,039.50 and 81,105.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,039.50 : 81,105.75 = 81,105.75 : x
2. Step 2: Convert to fraction form
   37,039.50/81,105.75 = 81,105.75/x
3. Step 3: Cross multiply
   37,039.50x = 81,105.75 × 81,105.75
4. Step 4: Simplify right side
   37,039.50x = 6,578,142,683.06
5. Step 5: Solve for x
   x = 6,578,142,683.06/37,039.50
6. Step 6: Final answer
   x = 177,598.04