Finding the Third Proportional to 42,614.50 and 63,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,614.50 : 63,678.50 = 63,678.50 : x
2. Step 2: Convert to fraction form
   42,614.50/63,678.50 = 63,678.50/x
3. Step 3: Cross multiply
   42,614.50x = 63,678.50 × 63,678.50
4. Step 4: Simplify right side
   42,614.50x = 4,054,951,362.25
5. Step 5: Solve for x
   x = 4,054,951,362.25/42,614.50
6. Step 6: Final answer
   x = 95,154.26