Finding the Third Proportional to 49,763 and 75,940.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,763 : 75,940.50 = 75,940.50 : x
2. Step 2: Convert to fraction form
   49,763/75,940.50 = 75,940.50/x
3. Step 3: Cross multiply
   49,763x = 75,940.50 × 75,940.50
4. Step 4: Simplify right side
   49,763x = 5,766,959,540.25
5. Step 5: Solve for x
   x = 5,766,959,540.25/49,763
6. Step 6: Final answer
   x = 115,888.50