Finding the Third Proportional to 7,835.06 and 12,229.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,835.06 : 12,229.31 = 12,229.31 : x
2. Step 2: Convert to fraction form
   7,835.06/12,229.31 = 12,229.31/x
3. Step 3: Cross multiply
   7,835.06x = 12,229.31 × 12,229.31
4. Step 4: Simplify right side
   7,835.06x = 149,556,084.22
5. Step 5: Solve for x
   x = 149,556,084.22/7,835.06
6. Step 6: Final answer
   x = 19,088.05