Finding the Third Proportional to 34,005 and 52,783

Step by Step Solution

1. Step 1: Write the proportion equation
   34,005 : 52,783 = 52,783 : x
2. Step 2: Convert to fraction form
   34,005/52,783 = 52,783/x
3. Step 3: Cross multiply
   34,005x = 52,783 × 52,783
4. Step 4: Simplify right side
   34,005x = 2,786,045,089
5. Step 5: Solve for x
   x = 2,786,045,089/34,005
6. Step 6: Final answer
   x = 81,930.45