Finding the Third Proportional to 48,996 and 75,703.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,996 : 75,703.50 = 75,703.50 : x
2. Step 2: Convert to fraction form
   48,996/75,703.50 = 75,703.50/x
3. Step 3: Cross multiply
   48,996x = 75,703.50 × 75,703.50
4. Step 4: Simplify right side
   48,996x = 5,731,019,912.25
5. Step 5: Solve for x
   x = 5,731,019,912.25/48,996
6. Step 6: Final answer
   x = 116,969.14