Finding the Third Proportional to 71.63 and 106.31

Step by Step Solution

1. Step 1: Write the proportion equation
   71.63 : 106.31 = 106.31 : x
2. Step 2: Convert to fraction form
   71.63/106.31 = 106.31/x
3. Step 3: Cross multiply
   71.63x = 106.31 × 106.31
4. Step 4: Simplify right side
   71.63x = 11,302.35
5. Step 5: Solve for x
   x = 11,302.35/71.63
6. Step 6: Final answer
   x = 157.80