Finding the Third Proportional to 20,154 and 31,113

Step by Step Solution

1. Step 1: Write the proportion equation
   20,154 : 31,113 = 31,113 : x
2. Step 2: Convert to fraction form
   20,154/31,113 = 31,113/x
3. Step 3: Cross multiply
   20,154x = 31,113 × 31,113
4. Step 4: Simplify right side
   20,154x = 968,018,769
5. Step 5: Solve for x
   x = 968,018,769/20,154
6. Step 6: Final answer
   x = 48,031.10