Finding the Third Proportional to 19,764 and 46,653.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,764 : 46,653.75 = 46,653.75 : x
2. Step 2: Convert to fraction form
   19,764/46,653.75 = 46,653.75/x
3. Step 3: Cross multiply
   19,764x = 46,653.75 × 46,653.75
4. Step 4: Simplify right side
   19,764x = 2,176,572,389.06
5. Step 5: Solve for x
   x = 2,176,572,389.06/19,764
6. Step 6: Final answer
   x = 110,128.13