Finding the Third Proportional to 19,757 and 46,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,757 : 46,638.50 = 46,638.50 : x
2. Step 2: Convert to fraction form
   19,757/46,638.50 = 46,638.50/x
3. Step 3: Cross multiply
   19,757x = 46,638.50 × 46,638.50
4. Step 4: Simplify right side
   19,757x = 2,175,149,682.25
5. Step 5: Solve for x
   x = 2,175,149,682.25/19,757
6. Step 6: Final answer
   x = 110,095.14