Finding the Third Proportional to 69.50 and 83.88

Step by Step Solution

1. Step 1: Write the proportion equation
   69.50 : 83.88 = 83.88 : x
2. Step 2: Convert to fraction form
   69.50/83.88 = 83.88/x
3. Step 3: Cross multiply
   69.50x = 83.88 × 83.88
4. Step 4: Simplify right side
   69.50x = 7,035.02
5. Step 5: Solve for x
   x = 7,035.02/69.50
6. Step 6: Final answer
   x = 101.22