Finding the Third Proportional to 9,742.78 and 13,342.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.78 : 13,342.22 = 13,342.22 : x
2. Step 2: Convert to fraction form
   9,742.78/13,342.22 = 13,342.22/x
3. Step 3: Cross multiply
   9,742.78x = 13,342.22 × 13,342.22
4. Step 4: Simplify right side
   9,742.78x = 178,014,801.17
5. Step 5: Solve for x
   x = 178,014,801.17/9,742.78
6. Step 6: Final answer
   x = 18,271.46