Finding the Third Proportional to 13,786 and 21,090

Step by Step Solution

1. Step 1: Write the proportion equation
   13,786 : 21,090 = 21,090 : x
2. Step 2: Convert to fraction form
   13,786/21,090 = 21,090/x
3. Step 3: Cross multiply
   13,786x = 21,090 × 21,090
4. Step 4: Simplify right side
   13,786x = 444,788,100
5. Step 5: Solve for x
   x = 444,788,100/13,786
6. Step 6: Final answer
   x = 32,263.75