Finding the Third Proportional to 1,926.28 and 2,970.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,926.28 : 2,970.42 = 2,970.42 : x
2. Step 2: Convert to fraction form
   1,926.28/2,970.42 = 2,970.42/x
3. Step 3: Cross multiply
   1,926.28x = 2,970.42 × 2,970.42
4. Step 4: Simplify right side
   1,926.28x = 8,823,406.12
5. Step 5: Solve for x
   x = 8,823,406.12/1,926.28
6. Step 6: Final answer
   x = 4,580.54