Finding the Third Proportional to 65.88 and 101.56

Step by Step Solution

1. Step 1: Write the proportion equation
   65.88 : 101.56 = 101.56 : x
2. Step 2: Convert to fraction form
   65.88/101.56 = 101.56/x
3. Step 3: Cross multiply
   65.88x = 101.56 × 101.56
4. Step 4: Simplify right side
   65.88x = 10,314.94
5. Step 5: Solve for x
   x = 10,314.94/65.88
6. Step 6: Final answer
   x = 156.58