Finding the Third Proportional to 9,770 and 22,492

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770 : 22,492 = 22,492 : x
2. Step 2: Convert to fraction form
   9,770/22,492 = 22,492/x
3. Step 3: Cross multiply
   9,770x = 22,492 × 22,492
4. Step 4: Simplify right side
   9,770x = 505,890,064
5. Step 5: Solve for x
   x = 505,890,064/9,770
6. Step 6: Final answer
   x = 51,779.95