Finding the Third Proportional to 30,496 and 46,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,496 : 46,933.50 = 46,933.50 : x
2. Step 2: Convert to fraction form
   30,496/46,933.50 = 46,933.50/x
3. Step 3: Cross multiply
   30,496x = 46,933.50 × 46,933.50
4. Step 4: Simplify right side
   30,496x = 2,202,753,422.25
5. Step 5: Solve for x
   x = 2,202,753,422.25/30,496
6. Step 6: Final answer
   x = 72,230.90