Finding the Third Proportional to 10,091 and 20,591

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091 : 20,591 = 20,591 : x
2. Step 2: Convert to fraction form
   10,091/20,591 = 20,591/x
3. Step 3: Cross multiply
   10,091x = 20,591 × 20,591
4. Step 4: Simplify right side
   10,091x = 423,989,281
5. Step 5: Solve for x
   x = 423,989,281/10,091
6. Step 6: Final answer
   x = 42,016.58