Finding the Third Proportional to 1,916.25 and 4,191.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,916.25 : 4,191.38 = 4,191.38 : x
2. Step 2: Convert to fraction form
   1,916.25/4,191.38 = 4,191.38/x
3. Step 3: Cross multiply
   1,916.25x = 4,191.38 × 4,191.38
4. Step 4: Simplify right side
   1,916.25x = 17,567,624.39
5. Step 5: Solve for x
   x = 17,567,624.39/1,916.25
6. Step 6: Final answer
   x = 9,167.71