Finding the Third Proportional to 49,741.50 and 77,133.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,741.50 : 77,133.75 = 77,133.75 : x
2. Step 2: Convert to fraction form
   49,741.50/77,133.75 = 77,133.75/x
3. Step 3: Cross multiply
   49,741.50x = 77,133.75 × 77,133.75
4. Step 4: Simplify right side
   49,741.50x = 5,949,615,389.06
5. Step 5: Solve for x
   x = 5,949,615,389.06/49,741.50
6. Step 6: Final answer
   x = 119,610.70