Finding the Third Proportional to 72.14 and 116.02

Step by Step Solution

1. Step 1: Write the proportion equation
   72.14 : 116.02 = 116.02 : x
2. Step 2: Convert to fraction form
   72.14/116.02 = 116.02/x
3. Step 3: Cross multiply
   72.14x = 116.02 × 116.02
4. Step 4: Simplify right side
   72.14x = 13,459.63
5. Step 5: Solve for x
   x = 13,459.63/72.14
6. Step 6: Final answer
   x = 186.57