Finding the Third Proportional to 20,113 and 30,586

Step by Step Solution

1. Step 1: Write the proportion equation
   20,113 : 30,586 = 30,586 : x
2. Step 2: Convert to fraction form
   20,113/30,586 = 30,586/x
3. Step 3: Cross multiply
   20,113x = 30,586 × 30,586
4. Step 4: Simplify right side
   20,113x = 935,503,396
5. Step 5: Solve for x
   x = 935,503,396/20,113
6. Step 6: Final answer
   x = 46,512.37