Finding the Third Proportional to 37.69 and 99.14

Step by Step Solution

1. Step 1: Write the proportion equation
   37.69 : 99.14 = 99.14 : x
2. Step 2: Convert to fraction form
   37.69/99.14 = 99.14/x
3. Step 3: Cross multiply
   37.69x = 99.14 × 99.14
4. Step 4: Simplify right side
   37.69x = 9,828.86
5. Step 5: Solve for x
   x = 9,828.86/37.69
6. Step 6: Final answer
   x = 260.80