Finding the Third Proportional to 9,097.31 and 12,840.19

Step by Step Solution

1. Step 1: Write the proportion equation
   9,097.31 : 12,840.19 = 12,840.19 : x
2. Step 2: Convert to fraction form
   9,097.31/12,840.19 = 12,840.19/x
3. Step 3: Cross multiply
   9,097.31x = 12,840.19 × 12,840.19
4. Step 4: Simplify right side
   9,097.31x = 164,870,415.04
5. Step 5: Solve for x
   x = 164,870,415.04/9,097.31
6. Step 6: Final answer
   x = 18,122.98