Finding the Third Proportional to 10,502 and 23,074

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502 : 23,074 = 23,074 : x
2. Step 2: Convert to fraction form
   10,502/23,074 = 23,074/x
3. Step 3: Cross multiply
   10,502x = 23,074 × 23,074
4. Step 4: Simplify right side
   10,502x = 532,409,476
5. Step 5: Solve for x
   x = 532,409,476/10,502
6. Step 6: Final answer
   x = 50,696.01