Finding the Third Proportional to 19,758.50 and 29,638.38

Step by Step Solution

1. Step 1: Write the proportion equation
   19,758.50 : 29,638.38 = 29,638.38 : x
2. Step 2: Convert to fraction form
   19,758.50/29,638.38 = 29,638.38/x
3. Step 3: Cross multiply
   19,758.50x = 29,638.38 × 29,638.38
4. Step 4: Simplify right side
   19,758.50x = 878,433,272.64
5. Step 5: Solve for x
   x = 878,433,272.64/19,758.50
6. Step 6: Final answer
   x = 44,458.50