Finding the Third Proportional to 39,827.75 and 83,141.25

Step by Step Solution

1. Step 1: Write the proportion equation
   39,827.75 : 83,141.25 = 83,141.25 : x
2. Step 2: Convert to fraction form
   39,827.75/83,141.25 = 83,141.25/x
3. Step 3: Cross multiply
   39,827.75x = 83,141.25 × 83,141.25
4. Step 4: Simplify right side
   39,827.75x = 6,912,467,451.56
5. Step 5: Solve for x
   x = 6,912,467,451.56/39,827.75
6. Step 6: Final answer
   x = 173,559.08