Finding the Third Proportional to 10,730 and 23,298

Step by Step Solution

1. Step 1: Write the proportion equation
   10,730 : 23,298 = 23,298 : x
2. Step 2: Convert to fraction form
   10,730/23,298 = 23,298/x
3. Step 3: Cross multiply
   10,730x = 23,298 × 23,298
4. Step 4: Simplify right side
   10,730x = 542,796,804
5. Step 5: Solve for x
   x = 542,796,804/10,730
6. Step 6: Final answer
   x = 50,586.84