Finding the Third Proportional to 20,213 and 42,521

Step by Step Solution

1. Step 1: Write the proportion equation
   20,213 : 42,521 = 42,521 : x
2. Step 2: Convert to fraction form
   20,213/42,521 = 42,521/x
3. Step 3: Cross multiply
   20,213x = 42,521 × 42,521
4. Step 4: Simplify right side
   20,213x = 1,808,035,441
5. Step 5: Solve for x
   x = 1,808,035,441/20,213
6. Step 6: Final answer
   x = 89,449.14