Finding the Third Proportional to 10,262 and 14,925

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262 : 14,925 = 14,925 : x
2. Step 2: Convert to fraction form
   10,262/14,925 = 14,925/x
3. Step 3: Cross multiply
   10,262x = 14,925 × 14,925
4. Step 4: Simplify right side
   10,262x = 222,755,625
5. Step 5: Solve for x
   x = 222,755,625/10,262
6. Step 6: Final answer
   x = 21,706.84