Finding the Third Proportional to 53.38 and 116.13

Step by Step Solution

1. Step 1: Write the proportion equation
   53.38 : 116.13 = 116.13 : x
2. Step 2: Convert to fraction form
   53.38/116.13 = 116.13/x
3. Step 3: Cross multiply
   53.38x = 116.13 × 116.13
4. Step 4: Simplify right side
   53.38x = 13,485.02
5. Step 5: Solve for x
   x = 13,485.02/53.38
6. Step 6: Final answer
   x = 252.65