Finding the Third Proportional to 12,813 and 19,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,813 : 19,762.50 = 19,762.50 : x
2. Step 2: Convert to fraction form
   12,813/19,762.50 = 19,762.50/x
3. Step 3: Cross multiply
   12,813x = 19,762.50 × 19,762.50
4. Step 4: Simplify right side
   12,813x = 390,556,406.25
5. Step 5: Solve for x
   x = 390,556,406.25/12,813
6. Step 6: Final answer
   x = 30,481.26