Finding the Third Proportional to 21,457 and 47,003

Step by Step Solution

1. Step 1: Write the proportion equation
   21,457 : 47,003 = 47,003 : x
2. Step 2: Convert to fraction form
   21,457/47,003 = 47,003/x
3. Step 3: Cross multiply
   21,457x = 47,003 × 47,003
4. Step 4: Simplify right side
   21,457x = 2,209,282,009
5. Step 5: Solve for x
   x = 2,209,282,009/21,457
6. Step 6: Final answer
   x = 102,963.23