Finding the Third Proportional to 30,760 and 40,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,760 : 40,390.50 = 40,390.50 : x
2. Step 2: Convert to fraction form
   30,760/40,390.50 = 40,390.50/x
3. Step 3: Cross multiply
   30,760x = 40,390.50 × 40,390.50
4. Step 4: Simplify right side
   30,760x = 1,631,392,490.25
5. Step 5: Solve for x
   x = 1,631,392,490.25/30,760
6. Step 6: Final answer
   x = 53,036.17