Finding the Third Proportional to 12,627 and 19,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,627 : 19,808.50 = 19,808.50 : x
2. Step 2: Convert to fraction form
   12,627/19,808.50 = 19,808.50/x
3. Step 3: Cross multiply
   12,627x = 19,808.50 × 19,808.50
4. Step 4: Simplify right side
   12,627x = 392,376,672.25
5. Step 5: Solve for x
   x = 392,376,672.25/12,627
6. Step 6: Final answer
   x = 31,074.42