Finding the Third Proportional to 10,088 and 14,788

Step by Step Solution

1. Step 1: Write the proportion equation
   10,088 : 14,788 = 14,788 : x
2. Step 2: Convert to fraction form
   10,088/14,788 = 14,788/x
3. Step 3: Cross multiply
   10,088x = 14,788 × 14,788
4. Step 4: Simplify right side
   10,088x = 218,684,944
5. Step 5: Solve for x
   x = 218,684,944/10,088
6. Step 6: Final answer
   x = 21,677.73