Finding the Third Proportional to 47.53 and 88.31

Step by Step Solution

1. Step 1: Write the proportion equation
   47.53 : 88.31 = 88.31 : x
2. Step 2: Convert to fraction form
   47.53/88.31 = 88.31/x
3. Step 3: Cross multiply
   47.53x = 88.31 × 88.31
4. Step 4: Simplify right side
   47.53x = 7,799.10
5. Step 5: Solve for x
   x = 7,799.10/47.53
6. Step 6: Final answer
   x = 164.08