Finding the Third Proportional to 13,776 and 21,084

Step by Step Solution

1. Step 1: Write the proportion equation
   13,776 : 21,084 = 21,084 : x
2. Step 2: Convert to fraction form
   13,776/21,084 = 21,084/x
3. Step 3: Cross multiply
   13,776x = 21,084 × 21,084
4. Step 4: Simplify right side
   13,776x = 444,535,056
5. Step 5: Solve for x
   x = 444,535,056/13,776
6. Step 6: Final answer
   x = 32,268.80