Finding the Third Proportional to 34,826 and 53,054

Step by Step Solution

1. Step 1: Write the proportion equation
   34,826 : 53,054 = 53,054 : x
2. Step 2: Convert to fraction form
   34,826/53,054 = 53,054/x
3. Step 3: Cross multiply
   34,826x = 53,054 × 53,054
4. Step 4: Simplify right side
   34,826x = 2,814,726,916
5. Step 5: Solve for x
   x = 2,814,726,916/34,826
6. Step 6: Final answer
   x = 80,822.57