Finding the Third Proportional to 970.88 and 2,341.69

Step by Step Solution

1. Step 1: Write the proportion equation
   970.88 : 2,341.69 = 2,341.69 : x
2. Step 2: Convert to fraction form
   970.88/2,341.69 = 2,341.69/x
3. Step 3: Cross multiply
   970.88x = 2,341.69 × 2,341.69
4. Step 4: Simplify right side
   970.88x = 5,483,500.35
5. Step 5: Solve for x
   x = 5,483,500.35/970.88
6. Step 6: Final answer
   x = 5,648.00