Finding the Third Proportional to 22.31 and 53.40

Step by Step Solution

1. Step 1: Write the proportion equation
   22.31 : 53.40 = 53.40 : x
2. Step 2: Convert to fraction form
   22.31/53.40 = 53.40/x
3. Step 3: Cross multiply
   22.31x = 53.40 × 53.40
4. Step 4: Simplify right side
   22.31x = 2,851.29
5. Step 5: Solve for x
   x = 2,851.29/22.31
6. Step 6: Final answer
   x = 127.80