Finding the Third Proportional to 37,138.50 and 81,654.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,138.50 : 81,654.75 = 81,654.75 : x
2. Step 2: Convert to fraction form
   37,138.50/81,654.75 = 81,654.75/x
3. Step 3: Cross multiply
   37,138.50x = 81,654.75 × 81,654.75
4. Step 4: Simplify right side
   37,138.50x = 6,667,498,197.56
5. Step 5: Solve for x
   x = 6,667,498,197.56/37,138.50
6. Step 6: Final answer
   x = 179,530.63