Finding the Third Proportional to 49,850 and 74,059

Step by Step Solution

1. Step 1: Write the proportion equation
   49,850 : 74,059 = 74,059 : x
2. Step 2: Convert to fraction form
   49,850/74,059 = 74,059/x
3. Step 3: Cross multiply
   49,850x = 74,059 × 74,059
4. Step 4: Simplify right side
   49,850x = 5,484,735,481
5. Step 5: Solve for x
   x = 5,484,735,481/49,850
6. Step 6: Final answer
   x = 110,024.78