Finding the Third Proportional to 49,018.50 and 77,895

Step by Step Solution

1. Step 1: Write the proportion equation
   49,018.50 : 77,895 = 77,895 : x
2. Step 2: Convert to fraction form
   49,018.50/77,895 = 77,895/x
3. Step 3: Cross multiply
   49,018.50x = 77,895 × 77,895
4. Step 4: Simplify right side
   49,018.50x = 6,067,631,025
5. Step 5: Solve for x
   x = 6,067,631,025/49,018.50
6. Step 6: Final answer
   x = 123,782.47