Finding the Third Proportional to 17,564 and 41,461

Step by Step Solution

1. Step 1: Write the proportion equation
   17,564 : 41,461 = 41,461 : x
2. Step 2: Convert to fraction form
   17,564/41,461 = 41,461/x
3. Step 3: Cross multiply
   17,564x = 41,461 × 41,461
4. Step 4: Simplify right side
   17,564x = 1,719,014,521
5. Step 5: Solve for x
   x = 1,719,014,521/17,564
6. Step 6: Final answer
   x = 97,871.47