Finding the Third Proportional to 37,469.81 and 81,933.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,469.81 : 81,933.56 = 81,933.56 : x
2. Step 2: Convert to fraction form
   37,469.81/81,933.56 = 81,933.56/x
3. Step 3: Cross multiply
   37,469.81x = 81,933.56 × 81,933.56
4. Step 4: Simplify right side
   37,469.81x = 6,713,108,663.94
5. Step 5: Solve for x
   x = 6,713,108,663.94/37,469.81
6. Step 6: Final answer
   x = 179,160.46