Finding the Third Proportional to 1,972.48 and 4,216.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,972.48 : 4,216.43 = 4,216.43 : x
2. Step 2: Convert to fraction form
   1,972.48/4,216.43 = 4,216.43/x
3. Step 3: Cross multiply
   1,972.48x = 4,216.43 × 4,216.43
4. Step 4: Simplify right side
   1,972.48x = 17,778,279.31
5. Step 5: Solve for x
   x = 17,778,279.31/1,972.48
6. Step 6: Final answer
   x = 9,013.18