Finding the Third Proportional to 30,438 and 46,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,438 : 46,021.50 = 46,021.50 : x
2. Step 2: Convert to fraction form
   30,438/46,021.50 = 46,021.50/x
3. Step 3: Cross multiply
   30,438x = 46,021.50 × 46,021.50
4. Step 4: Simplify right side
   30,438x = 2,117,978,462.25
5. Step 5: Solve for x
   x = 2,117,978,462.25/30,438
6. Step 6: Final answer
   x = 69,583.36