Finding the Third Proportional to 900.50 and 2,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   900.50 : 2,091.50 = 2,091.50 : x
2. Step 2: Convert to fraction form
   900.50/2,091.50 = 2,091.50/x
3. Step 3: Cross multiply
   900.50x = 2,091.50 × 2,091.50
4. Step 4: Simplify right side
   900.50x = 4,374,372.25
5. Step 5: Solve for x
   x = 4,374,372.25/900.50
6. Step 6: Final answer
   x = 4,857.71