Finding the Third Proportional to 30,223.50 and 57,780

Step by Step Solution

1. Step 1: Write the proportion equation
   30,223.50 : 57,780 = 57,780 : x
2. Step 2: Convert to fraction form
   30,223.50/57,780 = 57,780/x
3. Step 3: Cross multiply
   30,223.50x = 57,780 × 57,780
4. Step 4: Simplify right side
   30,223.50x = 3,338,528,400
5. Step 5: Solve for x
   x = 3,338,528,400/30,223.50
6. Step 6: Final answer
   x = 110,461.34