Finding the Third Proportional to 7,771.50 and 12,210.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,771.50 : 12,210.75 = 12,210.75 : x
2. Step 2: Convert to fraction form
   7,771.50/12,210.75 = 12,210.75/x
3. Step 3: Cross multiply
   7,771.50x = 12,210.75 × 12,210.75
4. Step 4: Simplify right side
   7,771.50x = 149,102,415.56
5. Step 5: Solve for x
   x = 149,102,415.56/7,771.50
6. Step 6: Final answer
   x = 19,185.80