Finding the Third Proportional to 34,747.50 and 75,003

Step by Step Solution

1. Step 1: Write the proportion equation
   34,747.50 : 75,003 = 75,003 : x
2. Step 2: Convert to fraction form
   34,747.50/75,003 = 75,003/x
3. Step 3: Cross multiply
   34,747.50x = 75,003 × 75,003
4. Step 4: Simplify right side
   34,747.50x = 5,625,450,009
5. Step 5: Solve for x
   x = 5,625,450,009/34,747.50
6. Step 6: Final answer
   x = 161,895.10