Finding the Third Proportional to 13,906.05 and 32,814.49

Step by Step Solution

1. Step 1: Write the proportion equation
   13,906.05 : 32,814.49 = 32,814.49 : x
2. Step 2: Convert to fraction form
   13,906.05/32,814.49 = 32,814.49/x
3. Step 3: Cross multiply
   13,906.05x = 32,814.49 × 32,814.49
4. Step 4: Simplify right side
   13,906.05x = 1,076,790,897.52
5. Step 5: Solve for x
   x = 1,076,790,897.52/13,906.05
6. Step 6: Final answer
   x = 77,433.24