Finding the Third Proportional to 34,766 and 53,597

Step by Step Solution

1. Step 1: Write the proportion equation
   34,766 : 53,597 = 53,597 : x
2. Step 2: Convert to fraction form
   34,766/53,597 = 53,597/x
3. Step 3: Cross multiply
   34,766x = 53,597 × 53,597
4. Step 4: Simplify right side
   34,766x = 2,872,638,409
5. Step 5: Solve for x
   x = 2,872,638,409/34,766
6. Step 6: Final answer
   x = 82,627.81