Finding the Third Proportional to 17,791 and 25,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,791 : 25,768.50 = 25,768.50 : x
2. Step 2: Convert to fraction form
   17,791/25,768.50 = 25,768.50/x
3. Step 3: Cross multiply
   17,791x = 25,768.50 × 25,768.50
4. Step 4: Simplify right side
   17,791x = 664,015,592.25
5. Step 5: Solve for x
   x = 664,015,592.25/17,791
6. Step 6: Final answer
   x = 37,323.12