Finding the Third Proportional to 99.50 and 102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99.50 : 102.50 = 102.50 : x
2. Step 2: Convert to fraction form
   99.50/102.50 = 102.50/x
3. Step 3: Cross multiply
   99.50x = 102.50 × 102.50
4. Step 4: Simplify right side
   99.50x = 10,506.25
5. Step 5: Solve for x
   x = 10,506.25/99.50
6. Step 6: Final answer
   x = 105.59