Finding the Third Proportional to 12,516 and 19,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,516 : 19,321.50 = 19,321.50 : x
2. Step 2: Convert to fraction form
   12,516/19,321.50 = 19,321.50/x
3. Step 3: Cross multiply
   12,516x = 19,321.50 × 19,321.50
4. Step 4: Simplify right side
   12,516x = 373,320,362.25
5. Step 5: Solve for x
   x = 373,320,362.25/12,516
6. Step 6: Final answer
   x = 29,827.45