Finding the Third Proportional to 435.63 and 653.38

Step by Step Solution

1. Step 1: Write the proportion equation
   435.63 : 653.38 = 653.38 : x
2. Step 2: Convert to fraction form
   435.63/653.38 = 653.38/x
3. Step 3: Cross multiply
   435.63x = 653.38 × 653.38
4. Step 4: Simplify right side
   435.63x = 426,898.89
5. Step 5: Solve for x
   x = 426,898.89/435.63
6. Step 6: Final answer
   x = 979.97