Finding the Third Proportional to 21,846 and 32,877

Step by Step Solution

1. Step 1: Write the proportion equation
   21,846 : 32,877 = 32,877 : x
2. Step 2: Convert to fraction form
   21,846/32,877 = 32,877/x
3. Step 3: Cross multiply
   21,846x = 32,877 × 32,877
4. Step 4: Simplify right side
   21,846x = 1,080,897,129
5. Step 5: Solve for x
   x = 1,080,897,129/21,846
6. Step 6: Final answer
   x = 49,478.03