Finding the Third Proportional to 46.38 and 99.63

Step by Step Solution

1. Step 1: Write the proportion equation
   46.38 : 99.63 = 99.63 : x
2. Step 2: Convert to fraction form
   46.38/99.63 = 99.63/x
3. Step 3: Cross multiply
   46.38x = 99.63 × 99.63
4. Step 4: Simplify right side
   46.38x = 9,925.14
5. Step 5: Solve for x
   x = 9,925.14/46.38
6. Step 6: Final answer
   x = 214.02