Finding the Third Proportional to 7,768.50 and 18,052.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,768.50 : 18,052.50 = 18,052.50 : x
2. Step 2: Convert to fraction form
   7,768.50/18,052.50 = 18,052.50/x
3. Step 3: Cross multiply
   7,768.50x = 18,052.50 × 18,052.50
4. Step 4: Simplify right side
   7,768.50x = 325,892,756.25
5. Step 5: Solve for x
   x = 325,892,756.25/7,768.50
6. Step 6: Final answer
   x = 41,950.54