Finding the Third Proportional to 35.50 and 45.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35.50 : 45.63 = 45.63 : x
2. Step 2: Convert to fraction form
   35.50/45.63 = 45.63/x
3. Step 3: Cross multiply
   35.50x = 45.63 × 45.63
4. Step 4: Simplify right side
   35.50x = 2,081.64
5. Step 5: Solve for x
   x = 2,081.64/35.50
6. Step 6: Final answer
   x = 58.64