Finding the Third Proportional to 13,457 and 21,003

Step by Step Solution

1. Step 1: Write the proportion equation
   13,457 : 21,003 = 21,003 : x
2. Step 2: Convert to fraction form
   13,457/21,003 = 21,003/x
3. Step 3: Cross multiply
   13,457x = 21,003 × 21,003
4. Step 4: Simplify right side
   13,457x = 441,126,009
5. Step 5: Solve for x
   x = 441,126,009/13,457
6. Step 6: Final answer
   x = 32,780.41