Finding the Third Proportional to 30,927 and 46,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,927 : 46,678.50 = 46,678.50 : x
2. Step 2: Convert to fraction form
   30,927/46,678.50 = 46,678.50/x
3. Step 3: Cross multiply
   30,927x = 46,678.50 × 46,678.50
4. Step 4: Simplify right side
   30,927x = 2,178,882,362.25
5. Step 5: Solve for x
   x = 2,178,882,362.25/30,927
6. Step 6: Final answer
   x = 70,452.43