Finding the Third Proportional to 69.38 and 152.06

Step by Step Solution

1. Step 1: Write the proportion equation
   69.38 : 152.06 = 152.06 : x
2. Step 2: Convert to fraction form
   69.38/152.06 = 152.06/x
3. Step 3: Cross multiply
   69.38x = 152.06 × 152.06
4. Step 4: Simplify right side
   69.38x = 23,123.00
5. Step 5: Solve for x
   x = 23,123.00/69.38
6. Step 6: Final answer
   x = 333.30