Finding the Third Proportional to 42.63 and 47.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42.63 : 47.50 = 47.50 : x
2. Step 2: Convert to fraction form
   42.63/47.50 = 47.50/x
3. Step 3: Cross multiply
   42.63x = 47.50 × 47.50
4. Step 4: Simplify right side
   42.63x = 2,256.25
5. Step 5: Solve for x
   x = 2,256.25/42.63
6. Step 6: Final answer
   x = 52.93