Finding the Third Proportional to 34,397 and 71,003

Step by Step Solution

1. Step 1: Write the proportion equation
   34,397 : 71,003 = 71,003 : x
2. Step 2: Convert to fraction form
   34,397/71,003 = 71,003/x
3. Step 3: Cross multiply
   34,397x = 71,003 × 71,003
4. Step 4: Simplify right side
   34,397x = 5,041,426,009
5. Step 5: Solve for x
   x = 5,041,426,009/34,397
6. Step 6: Final answer
   x = 146,565.86