Finding the Third Proportional to 13,764 and 21,091

Step by Step Solution

1. Step 1: Write the proportion equation
   13,764 : 21,091 = 21,091 : x
2. Step 2: Convert to fraction form
   13,764/21,091 = 21,091/x
3. Step 3: Cross multiply
   13,764x = 21,091 × 21,091
4. Step 4: Simplify right side
   13,764x = 444,830,281
5. Step 5: Solve for x
   x = 444,830,281/13,764
6. Step 6: Final answer
   x = 32,318.39