Finding the Third Proportional to 30,838.50 and 41,789.25

Step by Step Solution

1. Step 1: Write the proportion equation
   30,838.50 : 41,789.25 = 41,789.25 : x
2. Step 2: Convert to fraction form
   30,838.50/41,789.25 = 41,789.25/x
3. Step 3: Cross multiply
   30,838.50x = 41,789.25 × 41,789.25
4. Step 4: Simplify right side
   30,838.50x = 1,746,341,415.56
5. Step 5: Solve for x
   x = 1,746,341,415.56/30,838.50
6. Step 6: Final answer
   x = 56,628.61