Finding the Third Proportional to 12,776 and 19,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,776 : 19,623.50 = 19,623.50 : x
2. Step 2: Convert to fraction form
   12,776/19,623.50 = 19,623.50/x
3. Step 3: Cross multiply
   12,776x = 19,623.50 × 19,623.50
4. Step 4: Simplify right side
   12,776x = 385,081,752.25
5. Step 5: Solve for x
   x = 385,081,752.25/12,776
6. Step 6: Final answer
   x = 30,141.03