Finding the Third Proportional to 69.94 and 99.89

Step by Step Solution

1. Step 1: Write the proportion equation
   69.94 : 99.89 = 99.89 : x
2. Step 2: Convert to fraction form
   69.94/99.89 = 99.89/x
3. Step 3: Cross multiply
   69.94x = 99.89 × 99.89
4. Step 4: Simplify right side
   69.94x = 9,978.14
5. Step 5: Solve for x
   x = 9,978.14/69.94
6. Step 6: Final answer
   x = 142.67