Finding the Third Proportional to 34,838 and 53,382

Step by Step Solution

1. Step 1: Write the proportion equation
   34,838 : 53,382 = 53,382 : x
2. Step 2: Convert to fraction form
   34,838/53,382 = 53,382/x
3. Step 3: Cross multiply
   34,838x = 53,382 × 53,382
4. Step 4: Simplify right side
   34,838x = 2,849,637,924
5. Step 5: Solve for x
   x = 2,849,637,924/34,838
6. Step 6: Final answer
   x = 81,796.83