Finding the Third Proportional to 21,769 and 34,597

Step by Step Solution

1. Step 1: Write the proportion equation
   21,769 : 34,597 = 34,597 : x
2. Step 2: Convert to fraction form
   21,769/34,597 = 34,597/x
3. Step 3: Cross multiply
   21,769x = 34,597 × 34,597
4. Step 4: Simplify right side
   21,769x = 1,196,952,409
5. Step 5: Solve for x
   x = 1,196,952,409/21,769
6. Step 6: Final answer
   x = 54,984.26