Finding the Third Proportional to 19,688 and 41,600

Step by Step Solution

1. Step 1: Write the proportion equation
   19,688 : 41,600 = 41,600 : x
2. Step 2: Convert to fraction form
   19,688/41,600 = 41,600/x
3. Step 3: Cross multiply
   19,688x = 41,600 × 41,600
4. Step 4: Simplify right side
   19,688x = 1,730,560,000
5. Step 5: Solve for x
   x = 1,730,560,000/19,688
6. Step 6: Final answer
   x = 87,899.23