Finding the Third Proportional to 34,596 and 54,054

Step by Step Solution

1. Step 1: Write the proportion equation
   34,596 : 54,054 = 54,054 : x
2. Step 2: Convert to fraction form
   34,596/54,054 = 54,054/x
3. Step 3: Cross multiply
   34,596x = 54,054 × 54,054
4. Step 4: Simplify right side
   34,596x = 2,921,834,916
5. Step 5: Solve for x
   x = 2,921,834,916/34,596
6. Step 6: Final answer
   x = 84,455.86