Finding the Third Proportional to 7,777.50 and 11,828.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,777.50 : 11,828.25 = 11,828.25 : x
2. Step 2: Convert to fraction form
   7,777.50/11,828.25 = 11,828.25/x
3. Step 3: Cross multiply
   7,777.50x = 11,828.25 × 11,828.25
4. Step 4: Simplify right side
   7,777.50x = 139,907,498.06
5. Step 5: Solve for x
   x = 139,907,498.06/7,777.50
6. Step 6: Final answer
   x = 17,988.75