Finding the Third Proportional to 13,033 and 20,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,033 : 20,185.50 = 20,185.50 : x
2. Step 2: Convert to fraction form
   13,033/20,185.50 = 20,185.50/x
3. Step 3: Cross multiply
   13,033x = 20,185.50 × 20,185.50
4. Step 4: Simplify right side
   13,033x = 407,454,410.25
5. Step 5: Solve for x
   x = 407,454,410.25/13,033
6. Step 6: Final answer
   x = 31,263.29