Finding the Third Proportional to 20.88 and 45.63

Step by Step Solution

1. Step 1: Write the proportion equation
   20.88 : 45.63 = 45.63 : x
2. Step 2: Convert to fraction form
   20.88/45.63 = 45.63/x
3. Step 3: Cross multiply
   20.88x = 45.63 × 45.63
4. Step 4: Simplify right side
   20.88x = 2,081.64
5. Step 5: Solve for x
   x = 2,081.64/20.88
6. Step 6: Final answer
   x = 99.72