Finding the Third Proportional to 13,835.81 and 21,294.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,835.81 : 21,294.56 = 21,294.56 : x
2. Step 2: Convert to fraction form
   13,835.81/21,294.56 = 21,294.56/x
3. Step 3: Cross multiply
   13,835.81x = 21,294.56 × 21,294.56
4. Step 4: Simplify right side
   13,835.81x = 453,458,392.07
5. Step 5: Solve for x
   x = 453,458,392.07/13,835.81
6. Step 6: Final answer
   x = 32,774.25