Finding the Third Proportional to 9,726.75 and 21,358.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,726.75 : 21,358.50 = 21,358.50 : x
2. Step 2: Convert to fraction form
   9,726.75/21,358.50 = 21,358.50/x
3. Step 3: Cross multiply
   9,726.75x = 21,358.50 × 21,358.50
4. Step 4: Simplify right side
   9,726.75x = 456,185,522.25
5. Step 5: Solve for x
   x = 456,185,522.25/9,726.75
6. Step 6: Final answer
   x = 46,900.10