Finding the Third Proportional to 29.63 and 35.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29.63 : 35.50 = 35.50 : x
2. Step 2: Convert to fraction form
   29.63/35.50 = 35.50/x
3. Step 3: Cross multiply
   29.63x = 35.50 × 35.50
4. Step 4: Simplify right side
   29.63x = 1,260.25
5. Step 5: Solve for x
   x = 1,260.25/29.63
6. Step 6: Final answer
   x = 42.54