Finding the Third Proportional to 78.56 and 101.91

Step by Step Solution

1. Step 1: Write the proportion equation
   78.56 : 101.91 = 101.91 : x
2. Step 2: Convert to fraction form
   78.56/101.91 = 101.91/x
3. Step 3: Cross multiply
   78.56x = 101.91 × 101.91
4. Step 4: Simplify right side
   78.56x = 10,384.88
5. Step 5: Solve for x
   x = 10,384.88/78.56
6. Step 6: Final answer
   x = 132.19