Finding the Third Proportional to 30,765 and 46,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,765 : 46,150.50 = 46,150.50 : x
2. Step 2: Convert to fraction form
   30,765/46,150.50 = 46,150.50/x
3. Step 3: Cross multiply
   30,765x = 46,150.50 × 46,150.50
4. Step 4: Simplify right side
   30,765x = 2,129,868,650.25
5. Step 5: Solve for x
   x = 2,129,868,650.25/30,765
6. Step 6: Final answer
   x = 69,230.25