Finding the Third Proportional to 43.50 and 78.63

Step by Step Solution

1. Step 1: Write the proportion equation
   43.50 : 78.63 = 78.63 : x
2. Step 2: Convert to fraction form
   43.50/78.63 = 78.63/x
3. Step 3: Cross multiply
   43.50x = 78.63 × 78.63
4. Step 4: Simplify right side
   43.50x = 6,181.89
5. Step 5: Solve for x
   x = 6,181.89/43.50
6. Step 6: Final answer
   x = 142.11