Finding the Third Proportional to 23,710 and 31,819

Step by Step Solution

1. Step 1: Write the proportion equation
   23,710 : 31,819 = 31,819 : x
2. Step 2: Convert to fraction form
   23,710/31,819 = 31,819/x
3. Step 3: Cross multiply
   23,710x = 31,819 × 31,819
4. Step 4: Simplify right side
   23,710x = 1,012,448,761
5. Step 5: Solve for x
   x = 1,012,448,761/23,710
6. Step 6: Final answer
   x = 42,701.34