Finding the Third Proportional to 13,185 and 21,181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,185 : 21,181.50 = 21,181.50 : x
2. Step 2: Convert to fraction form
   13,185/21,181.50 = 21,181.50/x
3. Step 3: Cross multiply
   13,185x = 21,181.50 × 21,181.50
4. Step 4: Simplify right side
   13,185x = 448,655,942.25
5. Step 5: Solve for x
   x = 448,655,942.25/13,185
6. Step 6: Final answer
   x = 34,027.75