Finding the Third Proportional to 49,638 and 74,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,638 : 74,911.50 = 74,911.50 : x
2. Step 2: Convert to fraction form
   49,638/74,911.50 = 74,911.50/x
3. Step 3: Cross multiply
   49,638x = 74,911.50 × 74,911.50
4. Step 4: Simplify right side
   49,638x = 5,611,732,832.25
5. Step 5: Solve for x
   x = 5,611,732,832.25/49,638
6. Step 6: Final answer
   x = 113,053.16