Finding the Third Proportional to 61.50 and 100.69

Step by Step Solution

1. Step 1: Write the proportion equation
   61.50 : 100.69 = 100.69 : x
2. Step 2: Convert to fraction form
   61.50/100.69 = 100.69/x
3. Step 3: Cross multiply
   61.50x = 100.69 × 100.69
4. Step 4: Simplify right side
   61.50x = 10,137.97
5. Step 5: Solve for x
   x = 10,137.97/61.50
6. Step 6: Final answer
   x = 164.85