Finding the Third Proportional to 13,877 and 21,279.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,877 : 21,279.50 = 21,279.50 : x
2. Step 2: Convert to fraction form
   13,877/21,279.50 = 21,279.50/x
3. Step 3: Cross multiply
   13,877x = 21,279.50 × 21,279.50
4. Step 4: Simplify right side
   13,877x = 452,817,120.25
5. Step 5: Solve for x
   x = 452,817,120.25/13,877
6. Step 6: Final answer
   x = 32,630.76