Finding the Third Proportional to 49,287.75 and 77,216.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,287.75 : 77,216.25 = 77,216.25 : x
2. Step 2: Convert to fraction form
   49,287.75/77,216.25 = 77,216.25/x
3. Step 3: Cross multiply
   49,287.75x = 77,216.25 × 77,216.25
4. Step 4: Simplify right side
   49,287.75x = 5,962,349,264.06
5. Step 5: Solve for x
   x = 5,962,349,264.06/49,287.75
6. Step 6: Final answer
   x = 120,970.21