Finding the Third Proportional to 10,386 and 23,370

Step by Step Solution

1. Step 1: Write the proportion equation
   10,386 : 23,370 = 23,370 : x
2. Step 2: Convert to fraction form
   10,386/23,370 = 23,370/x
3. Step 3: Cross multiply
   10,386x = 23,370 × 23,370
4. Step 4: Simplify right side
   10,386x = 546,156,900
5. Step 5: Solve for x
   x = 546,156,900/10,386
6. Step 6: Final answer
   x = 52,585.88