Finding the Third Proportional to 10,792.50 and 14,346

Step by Step Solution

1. Step 1: Write the proportion equation
   10,792.50 : 14,346 = 14,346 : x
2. Step 2: Convert to fraction form
   10,792.50/14,346 = 14,346/x
3. Step 3: Cross multiply
   10,792.50x = 14,346 × 14,346
4. Step 4: Simplify right side
   10,792.50x = 205,807,716
5. Step 5: Solve for x
   x = 205,807,716/10,792.50
6. Step 6: Final answer
   x = 19,069.51