Finding the Third Proportional to 13,902 and 21,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,902 : 21,558.50 = 21,558.50 : x
2. Step 2: Convert to fraction form
   13,902/21,558.50 = 21,558.50/x
3. Step 3: Cross multiply
   13,902x = 21,558.50 × 21,558.50
4. Step 4: Simplify right side
   13,902x = 464,768,922.25
5. Step 5: Solve for x
   x = 464,768,922.25/13,902
6. Step 6: Final answer
   x = 33,431.80