Finding the Third Proportional to 19,824.38 and 46,258.69

Step by Step Solution

1. Step 1: Write the proportion equation
   19,824.38 : 46,258.69 = 46,258.69 : x
2. Step 2: Convert to fraction form
   19,824.38/46,258.69 = 46,258.69/x
3. Step 3: Cross multiply
   19,824.38x = 46,258.69 × 46,258.69
4. Step 4: Simplify right side
   19,824.38x = 2,139,866,169.22
5. Step 5: Solve for x
   x = 2,139,866,169.22/19,824.38
6. Step 6: Final answer
   x = 107,941.17