Finding the Third Proportional to 72.50 and 102

Step by Step Solution

1. Step 1: Write the proportion equation
   72.50 : 102 = 102 : x
2. Step 2: Convert to fraction form
   72.50/102 = 102/x
3. Step 3: Cross multiply
   72.50x = 102 × 102
4. Step 4: Simplify right side
   72.50x = 10,404
5. Step 5: Solve for x
   x = 10,404/72.50
6. Step 6: Final answer
   x = 143.50