Finding the Third Proportional to 3,906 and 5,901.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,906 : 5,901.50 = 5,901.50 : x
2. Step 2: Convert to fraction form
   3,906/5,901.50 = 5,901.50/x
3. Step 3: Cross multiply
   3,906x = 5,901.50 × 5,901.50
4. Step 4: Simplify right side
   3,906x = 34,827,702.25
5. Step 5: Solve for x
   x = 34,827,702.25/3,906
6. Step 6: Final answer
   x = 8,916.46