Finding the Third Proportional to 69.61 and 109.48

Step by Step Solution

1. Step 1: Write the proportion equation
   69.61 : 109.48 = 109.48 : x
2. Step 2: Convert to fraction form
   69.61/109.48 = 109.48/x
3. Step 3: Cross multiply
   69.61x = 109.48 × 109.48
4. Step 4: Simplify right side
   69.61x = 11,985.12
5. Step 5: Solve for x
   x = 11,985.12/69.61
6. Step 6: Final answer
   x = 172.18