Finding the Third Proportional to 5,476 and 13,222

Step by Step Solution

1. Step 1: Write the proportion equation
   5,476 : 13,222 = 13,222 : x
2. Step 2: Convert to fraction form
   5,476/13,222 = 13,222/x
3. Step 3: Cross multiply
   5,476x = 13,222 × 13,222
4. Step 4: Simplify right side
   5,476x = 174,821,284
5. Step 5: Solve for x
   x = 174,821,284/5,476
6. Step 6: Final answer
   x = 31,925.00