Finding the Third Proportional to 20,308 and 31,254

Step by Step Solution

1. Step 1: Write the proportion equation
   20,308 : 31,254 = 31,254 : x
2. Step 2: Convert to fraction form
   20,308/31,254 = 31,254/x
3. Step 3: Cross multiply
   20,308x = 31,254 × 31,254
4. Step 4: Simplify right side
   20,308x = 976,812,516
5. Step 5: Solve for x
   x = 976,812,516/20,308
6. Step 6: Final answer
   x = 48,099.89