Finding the Third Proportional to 11,864 and 19,492

Step by Step Solution

1. Step 1: Write the proportion equation
   11,864 : 19,492 = 19,492 : x
2. Step 2: Convert to fraction form
   11,864/19,492 = 19,492/x
3. Step 3: Cross multiply
   11,864x = 19,492 × 19,492
4. Step 4: Simplify right side
   11,864x = 379,938,064
5. Step 5: Solve for x
   x = 379,938,064/11,864
6. Step 6: Final answer
   x = 32,024.45