Finding the Third Proportional to 37,976.91 and 81,797.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37,976.91 : 81,797.06 = 81,797.06 : x
2. Step 2: Convert to fraction form
   37,976.91/81,797.06 = 81,797.06/x
3. Step 3: Cross multiply
   37,976.91x = 81,797.06 × 81,797.06
4. Step 4: Simplify right side
   37,976.91x = 6,690,759,433.63
5. Step 5: Solve for x
   x = 6,690,759,433.63/37,976.91
6. Step 6: Final answer
   x = 176,179.69