Finding the Third Proportional to 69.61 and 102.52

Step by Step Solution

1. Step 1: Write the proportion equation
   69.61 : 102.52 = 102.52 : x
2. Step 2: Convert to fraction form
   69.61/102.52 = 102.52/x
3. Step 3: Cross multiply
   69.61x = 102.52 × 102.52
4. Step 4: Simplify right side
   69.61x = 10,509.45
5. Step 5: Solve for x
   x = 10,509.45/69.61
6. Step 6: Final answer
   x = 150.98