Finding the Third Proportional to 1,926.75 and 4,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,926.75 : 4,213.50 = 4,213.50 : x
2. Step 2: Convert to fraction form
   1,926.75/4,213.50 = 4,213.50/x
3. Step 3: Cross multiply
   1,926.75x = 4,213.50 × 4,213.50
4. Step 4: Simplify right side
   1,926.75x = 17,753,582.25
5. Step 5: Solve for x
   x = 17,753,582.25/1,926.75
6. Step 6: Final answer
   x = 9,214.26