Finding the Third Proportional to 13,876.31 and 21,159.84

Step by Step Solution

1. Step 1: Write the proportion equation
   13,876.31 : 21,159.84 = 21,159.84 : x
2. Step 2: Convert to fraction form
   13,876.31/21,159.84 = 21,159.84/x
3. Step 3: Cross multiply
   13,876.31x = 21,159.84 × 21,159.84
4. Step 4: Simplify right side
   13,876.31x = 447,738,987.52
5. Step 5: Solve for x
   x = 447,738,987.52/13,876.31
6. Step 6: Final answer
   x = 32,266.42