Finding the Third Proportional to 34,716 and 53,838

Step by Step Solution

1. Step 1: Write the proportion equation
   34,716 : 53,838 = 53,838 : x
2. Step 2: Convert to fraction form
   34,716/53,838 = 53,838/x
3. Step 3: Cross multiply
   34,716x = 53,838 × 53,838
4. Step 4: Simplify right side
   34,716x = 2,898,530,244
5. Step 5: Solve for x
   x = 2,898,530,244/34,716
6. Step 6: Final answer
   x = 83,492.63