Finding the Third Proportional to 12,820 and 19,492

Step by Step Solution

1. Step 1: Write the proportion equation
   12,820 : 19,492 = 19,492 : x
2. Step 2: Convert to fraction form
   12,820/19,492 = 19,492/x
3. Step 3: Cross multiply
   12,820x = 19,492 × 19,492
4. Step 4: Simplify right side
   12,820x = 379,938,064
5. Step 5: Solve for x
   x = 379,938,064/12,820
6. Step 6: Final answer
   x = 29,636.35