Finding the Third Proportional to 37,469.25 and 80,268.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,469.25 : 80,268.75 = 80,268.75 : x
2. Step 2: Convert to fraction form
   37,469.25/80,268.75 = 80,268.75/x
3. Step 3: Cross multiply
   37,469.25x = 80,268.75 × 80,268.75
4. Step 4: Simplify right side
   37,469.25x = 6,443,072,226.56
5. Step 5: Solve for x
   x = 6,443,072,226.56/37,469.25
6. Step 6: Final answer
   x = 171,956.26