Finding the Third Proportional to 37,828.75 and 56,906.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,828.75 : 56,906.25 = 56,906.25 : x
2. Step 2: Convert to fraction form
   37,828.75/56,906.25 = 56,906.25/x
3. Step 3: Cross multiply
   37,828.75x = 56,906.25 × 56,906.25
4. Step 4: Simplify right side
   37,828.75x = 3,238,321,289.06
5. Step 5: Solve for x
   x = 3,238,321,289.06/37,828.75
6. Step 6: Final answer
   x = 85,604.77