Finding the Third Proportional to 15,638 and 32,894

Step by Step Solution

1. Step 1: Write the proportion equation
   15,638 : 32,894 = 32,894 : x
2. Step 2: Convert to fraction form
   15,638/32,894 = 32,894/x
3. Step 3: Cross multiply
   15,638x = 32,894 × 32,894
4. Step 4: Simplify right side
   15,638x = 1,082,015,236
5. Step 5: Solve for x
   x = 1,082,015,236/15,638
6. Step 6: Final answer
   x = 69,191.41