Finding the Third Proportional to 49,716 and 74,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,716 : 74,614.50 = 74,614.50 : x
2. Step 2: Convert to fraction form
   49,716/74,614.50 = 74,614.50/x
3. Step 3: Cross multiply
   49,716x = 74,614.50 × 74,614.50
4. Step 4: Simplify right side
   49,716x = 5,567,323,610.25
5. Step 5: Solve for x
   x = 5,567,323,610.25/49,716
6. Step 6: Final answer
   x = 111,982.53