Finding the Third Proportional to 23,460 and 31,710

Step by Step Solution

1. Step 1: Write the proportion equation
   23,460 : 31,710 = 31,710 : x
2. Step 2: Convert to fraction form
   23,460/31,710 = 31,710/x
3. Step 3: Cross multiply
   23,460x = 31,710 × 31,710
4. Step 4: Simplify right side
   23,460x = 1,005,524,100
5. Step 5: Solve for x
   x = 1,005,524,100/23,460
6. Step 6: Final answer
   x = 42,861.21