Finding the Third Proportional to 19,768 and 46,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,768 : 46,664.50 = 46,664.50 : x
2. Step 2: Convert to fraction form
   19,768/46,664.50 = 46,664.50/x
3. Step 3: Cross multiply
   19,768x = 46,664.50 × 46,664.50
4. Step 4: Simplify right side
   19,768x = 2,177,575,560.25
5. Step 5: Solve for x
   x = 2,177,575,560.25/19,768
6. Step 6: Final answer
   x = 110,156.59