Finding the Third Proportional to 1,932.19 and 4,645.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,932.19 : 4,645.69 = 4,645.69 : x
2. Step 2: Convert to fraction form
   1,932.19/4,645.69 = 4,645.69/x
3. Step 3: Cross multiply
   1,932.19x = 4,645.69 × 4,645.69
4. Step 4: Simplify right side
   1,932.19x = 21,582,412.35
5. Step 5: Solve for x
   x = 21,582,412.35/1,932.19
6. Step 6: Final answer
   x = 11,169.94