Finding the Third Proportional to 30,835 and 40,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,835 : 40,993.50 = 40,993.50 : x
2. Step 2: Convert to fraction form
   30,835/40,993.50 = 40,993.50/x
3. Step 3: Cross multiply
   30,835x = 40,993.50 × 40,993.50
4. Step 4: Simplify right side
   30,835x = 1,680,467,042.25
5. Step 5: Solve for x
   x = 1,680,467,042.25/30,835
6. Step 6: Final answer
   x = 54,498.69