Finding the Third Proportional to 30,969 and 42,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,969 : 42,223.50 = 42,223.50 : x
2. Step 2: Convert to fraction form
   30,969/42,223.50 = 42,223.50/x
3. Step 3: Cross multiply
   30,969x = 42,223.50 × 42,223.50
4. Step 4: Simplify right side
   30,969x = 1,782,823,952.25
5. Step 5: Solve for x
   x = 1,782,823,952.25/30,969
6. Step 6: Final answer
   x = 57,568.02