Finding the Third Proportional to 1,406.75 and 2,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.75 : 2,903.50 = 2,903.50 : x
2. Step 2: Convert to fraction form
   1,406.75/2,903.50 = 2,903.50/x
3. Step 3: Cross multiply
   1,406.75x = 2,903.50 × 2,903.50
4. Step 4: Simplify right side
   1,406.75x = 8,430,312.25
5. Step 5: Solve for x
   x = 8,430,312.25/1,406.75
6. Step 6: Final answer
   x = 5,992.76