Finding the Third Proportional to 9,535.50 and 19,733.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,535.50 : 19,733.63 = 19,733.63 : x
2. Step 2: Convert to fraction form
   9,535.50/19,733.63 = 19,733.63/x
3. Step 3: Cross multiply
   9,535.50x = 19,733.63 × 19,733.63
4. Step 4: Simplify right side
   9,535.50x = 389,415,955.64
5. Step 5: Solve for x
   x = 389,415,955.64/9,535.50
6. Step 6: Final answer
   x = 40,838.55