Finding the Third Proportional to 12,213 and 19,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,213 : 19,165.50 = 19,165.50 : x
2. Step 2: Convert to fraction form
   12,213/19,165.50 = 19,165.50/x
3. Step 3: Cross multiply
   12,213x = 19,165.50 × 19,165.50
4. Step 4: Simplify right side
   12,213x = 367,316,390.25
5. Step 5: Solve for x
   x = 367,316,390.25/12,213
6. Step 6: Final answer
   x = 30,075.85