Finding the Third Proportional to 5,032 and 12,310

Step by Step Solution

1. Step 1: Write the proportion equation
   5,032 : 12,310 = 12,310 : x
2. Step 2: Convert to fraction form
   5,032/12,310 = 12,310/x
3. Step 3: Cross multiply
   5,032x = 12,310 × 12,310
4. Step 4: Simplify right side
   5,032x = 151,536,100
5. Step 5: Solve for x
   x = 151,536,100/5,032
6. Step 6: Final answer
   x = 30,114.49