Finding the Third Proportional to 21,160 and 31,674

Step by Step Solution

1. Step 1: Write the proportion equation
   21,160 : 31,674 = 31,674 : x
2. Step 2: Convert to fraction form
   21,160/31,674 = 31,674/x
3. Step 3: Cross multiply
   21,160x = 31,674 × 31,674
4. Step 4: Simplify right side
   21,160x = 1,003,242,276
5. Step 5: Solve for x
   x = 1,003,242,276/21,160
6. Step 6: Final answer
   x = 47,412.21