Finding the Third Proportional to 905.50 and 1,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   905.50 : 1,947.50 = 1,947.50 : x
2. Step 2: Convert to fraction form
   905.50/1,947.50 = 1,947.50/x
3. Step 3: Cross multiply
   905.50x = 1,947.50 × 1,947.50
4. Step 4: Simplify right side
   905.50x = 3,792,756.25
5. Step 5: Solve for x
   x = 3,792,756.25/905.50
6. Step 6: Final answer
   x = 4,188.58