Finding the Third Proportional to 10,146.75 and 21,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.75 : 21,802.50 = 21,802.50 : x
2. Step 2: Convert to fraction form
   10,146.75/21,802.50 = 21,802.50/x
3. Step 3: Cross multiply
   10,146.75x = 21,802.50 × 21,802.50
4. Step 4: Simplify right side
   10,146.75x = 475,349,006.25
5. Step 5: Solve for x
   x = 475,349,006.25/10,146.75
6. Step 6: Final answer
   x = 46,847.41