Finding the Third Proportional to 3,905 and 5,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,905 : 5,973.50 = 5,973.50 : x
2. Step 2: Convert to fraction form
   3,905/5,973.50 = 5,973.50/x
3. Step 3: Cross multiply
   3,905x = 5,973.50 × 5,973.50
4. Step 4: Simplify right side
   3,905x = 35,682,702.25
5. Step 5: Solve for x
   x = 35,682,702.25/3,905
6. Step 6: Final answer
   x = 9,137.70