Finding the Third Proportional to 19,764 and 46,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,764 : 46,654.50 = 46,654.50 : x
2. Step 2: Convert to fraction form
   19,764/46,654.50 = 46,654.50/x
3. Step 3: Cross multiply
   19,764x = 46,654.50 × 46,654.50
4. Step 4: Simplify right side
   19,764x = 2,176,642,370.25
5. Step 5: Solve for x
   x = 2,176,642,370.25/19,764
6. Step 6: Final answer
   x = 110,131.67