Finding the Third Proportional to 49,036.50 and 77,690.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,036.50 : 77,690.25 = 77,690.25 : x
2. Step 2: Convert to fraction form
   49,036.50/77,690.25 = 77,690.25/x
3. Step 3: Cross multiply
   49,036.50x = 77,690.25 × 77,690.25
4. Step 4: Simplify right side
   49,036.50x = 6,035,774,945.06
5. Step 5: Solve for x
   x = 6,035,774,945.06/49,036.50
6. Step 6: Final answer
   x = 123,087.39