Finding the Third Proportional to 30,665.25 and 46,458

Step by Step Solution

1. Step 1: Write the proportion equation
   30,665.25 : 46,458 = 46,458 : x
2. Step 2: Convert to fraction form
   30,665.25/46,458 = 46,458/x
3. Step 3: Cross multiply
   30,665.25x = 46,458 × 46,458
4. Step 4: Simplify right side
   30,665.25x = 2,158,345,764
5. Step 5: Solve for x
   x = 2,158,345,764/30,665.25
6. Step 6: Final answer
   x = 70,384.09