Finding the Third Proportional to 49,836 and 74,898

Step by Step Solution

1. Step 1: Write the proportion equation
   49,836 : 74,898 = 74,898 : x
2. Step 2: Convert to fraction form
   49,836/74,898 = 74,898/x
3. Step 3: Cross multiply
   49,836x = 74,898 × 74,898
4. Step 4: Simplify right side
   49,836x = 5,609,710,404
5. Step 5: Solve for x
   x = 5,609,710,404/49,836
6. Step 6: Final answer
   x = 112,563.42