Finding the Third Proportional to 9,769.50 and 23,634

Step by Step Solution

1. Step 1: Write the proportion equation
   9,769.50 : 23,634 = 23,634 : x
2. Step 2: Convert to fraction form
   9,769.50/23,634 = 23,634/x
3. Step 3: Cross multiply
   9,769.50x = 23,634 × 23,634
4. Step 4: Simplify right side
   9,769.50x = 558,565,956
5. Step 5: Solve for x
   x = 558,565,956/9,769.50
6. Step 6: Final answer
   x = 57,174.47