Finding the Third Proportional to 37,457.44 and 81,817.59

Step by Step Solution

1. Step 1: Write the proportion equation
   37,457.44 : 81,817.59 = 81,817.59 : x
2. Step 2: Convert to fraction form
   37,457.44/81,817.59 = 81,817.59/x
3. Step 3: Cross multiply
   37,457.44x = 81,817.59 × 81,817.59
4. Step 4: Simplify right side
   37,457.44x = 6,694,118,647.04
5. Step 5: Solve for x
   x = 6,694,118,647.04/37,457.44
6. Step 6: Final answer
   x = 178,712.67