Finding the Third Proportional to 1,977.75 and 3,214.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,977.75 : 3,214.69 = 3,214.69 : x
2. Step 2: Convert to fraction form
   1,977.75/3,214.69 = 3,214.69/x
3. Step 3: Cross multiply
   1,977.75x = 3,214.69 × 3,214.69
4. Step 4: Simplify right side
   1,977.75x = 10,334,215.72
5. Step 5: Solve for x
   x = 10,334,215.72/1,977.75
6. Step 6: Final answer
   x = 5,225.24