Finding the Third Proportional to 49,816 and 74,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,816 : 74,018.50 = 74,018.50 : x
2. Step 2: Convert to fraction form
   49,816/74,018.50 = 74,018.50/x
3. Step 3: Cross multiply
   49,816x = 74,018.50 × 74,018.50
4. Step 4: Simplify right side
   49,816x = 5,478,738,342.25
5. Step 5: Solve for x
   x = 5,478,738,342.25/49,816
6. Step 6: Final answer
   x = 109,979.49