Finding the Third Proportional to 10,194 and 23,792

Step by Step Solution

1. Step 1: Write the proportion equation
   10,194 : 23,792 = 23,792 : x
2. Step 2: Convert to fraction form
   10,194/23,792 = 23,792/x
3. Step 3: Cross multiply
   10,194x = 23,792 × 23,792
4. Step 4: Simplify right side
   10,194x = 566,059,264
5. Step 5: Solve for x
   x = 566,059,264/10,194
6. Step 6: Final answer
   x = 55,528.67