Finding the Third Proportional to 34,320 and 53,793

Step by Step Solution

1. Step 1: Write the proportion equation
   34,320 : 53,793 = 53,793 : x
2. Step 2: Convert to fraction form
   34,320/53,793 = 53,793/x
3. Step 3: Cross multiply
   34,320x = 53,793 × 53,793
4. Step 4: Simplify right side
   34,320x = 2,893,686,849
5. Step 5: Solve for x
   x = 2,893,686,849/34,320
6. Step 6: Final answer
   x = 84,314.88