Finding the Third Proportional to 7,749.75 and 16,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,749.75 : 16,948.50 = 16,948.50 : x
2. Step 2: Convert to fraction form
   7,749.75/16,948.50 = 16,948.50/x
3. Step 3: Cross multiply
   7,749.75x = 16,948.50 × 16,948.50
4. Step 4: Simplify right side
   7,749.75x = 287,251,652.25
5. Step 5: Solve for x
   x = 287,251,652.25/7,749.75
6. Step 6: Final answer
   x = 37,065.92