Finding the Third Proportional to 49,003.50 and 77,697

Step by Step Solution

1. Step 1: Write the proportion equation
   49,003.50 : 77,697 = 77,697 : x
2. Step 2: Convert to fraction form
   49,003.50/77,697 = 77,697/x
3. Step 3: Cross multiply
   49,003.50x = 77,697 × 77,697
4. Step 4: Simplify right side
   49,003.50x = 6,036,823,809
5. Step 5: Solve for x
   x = 6,036,823,809/49,003.50
6. Step 6: Final answer
   x = 123,191.69