Finding the Third Proportional to 37,986.75 and 81,491.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,986.75 : 81,491.63 = 81,491.63 : x
2. Step 2: Convert to fraction form
   37,986.75/81,491.63 = 81,491.63/x
3. Step 3: Cross multiply
   37,986.75x = 81,491.63 × 81,491.63
4. Step 4: Simplify right side
   37,986.75x = 6,640,884,945.14
5. Step 5: Solve for x
   x = 6,640,884,945.14/37,986.75
6. Step 6: Final answer
   x = 174,821.09