Finding the Third Proportional to 37,827.94 and 81,491.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,827.94 : 81,491.25 = 81,491.25 : x
2. Step 2: Convert to fraction form
   37,827.94/81,491.25 = 81,491.25/x
3. Step 3: Cross multiply
   37,827.94x = 81,491.25 × 81,491.25
4. Step 4: Simplify right side
   37,827.94x = 6,640,823,826.56
5. Step 5: Solve for x
   x = 6,640,823,826.56/37,827.94
6. Step 6: Final answer
   x = 175,553.42