Finding the Third Proportional to 14,390 and 35,003

Step by Step Solution

1. Step 1: Write the proportion equation
   14,390 : 35,003 = 35,003 : x
2. Step 2: Convert to fraction form
   14,390/35,003 = 35,003/x
3. Step 3: Cross multiply
   14,390x = 35,003 × 35,003
4. Step 4: Simplify right side
   14,390x = 1,225,210,009
5. Step 5: Solve for x
   x = 1,225,210,009/14,390
6. Step 6: Final answer
   x = 85,143.16