Finding the Third Proportional to 1,953.50 and 4,215.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,953.50 : 4,215.25 = 4,215.25 : x
2. Step 2: Convert to fraction form
   1,953.50/4,215.25 = 4,215.25/x
3. Step 3: Cross multiply
   1,953.50x = 4,215.25 × 4,215.25
4. Step 4: Simplify right side
   1,953.50x = 17,768,332.56
5. Step 5: Solve for x
   x = 17,768,332.56/1,953.50
6. Step 6: Final answer
   x = 9,095.64