Finding the Third Proportional to 1,922.17 and 2,969.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,922.17 : 2,969.75 = 2,969.75 : x
2. Step 2: Convert to fraction form
   1,922.17/2,969.75 = 2,969.75/x
3. Step 3: Cross multiply
   1,922.17x = 2,969.75 × 2,969.75
4. Step 4: Simplify right side
   1,922.17x = 8,819,412.16
5. Step 5: Solve for x
   x = 8,819,412.16/1,922.17
6. Step 6: Final answer
   x = 4,588.26