Finding the Third Proportional to 1,834.88 and 4,215.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,834.88 : 4,215.94 = 4,215.94 : x
2. Step 2: Convert to fraction form
   1,834.88/4,215.94 = 4,215.94/x
3. Step 3: Cross multiply
   1,834.88x = 4,215.94 × 4,215.94
4. Step 4: Simplify right side
   1,834.88x = 17,774,129.00
5. Step 5: Solve for x
   x = 17,774,129.00/1,834.88
6. Step 6: Final answer
   x = 9,686.83