Finding the Third Proportional to 21,200 and 31,070

Step by Step Solution

1. Step 1: Write the proportion equation
   21,200 : 31,070 = 31,070 : x
2. Step 2: Convert to fraction form
   21,200/31,070 = 31,070/x
3. Step 3: Cross multiply
   21,200x = 31,070 × 31,070
4. Step 4: Simplify right side
   21,200x = 965,344,900
5. Step 5: Solve for x
   x = 965,344,900/21,200
6. Step 6: Final answer
   x = 45,535.14