Finding the Third Proportional to 9,769.50 and 19,053

Step by Step Solution

1. Step 1: Write the proportion equation
   9,769.50 : 19,053 = 19,053 : x
2. Step 2: Convert to fraction form
   9,769.50/19,053 = 19,053/x
3. Step 3: Cross multiply
   9,769.50x = 19,053 × 19,053
4. Step 4: Simplify right side
   9,769.50x = 363,016,809
5. Step 5: Solve for x
   x = 363,016,809/9,769.50
6. Step 6: Final answer
   x = 37,158.18