Finding the Third Proportional to 12,579 and 19,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,579 : 19,468.50 = 19,468.50 : x
2. Step 2: Convert to fraction form
   12,579/19,468.50 = 19,468.50/x
3. Step 3: Cross multiply
   12,579x = 19,468.50 × 19,468.50
4. Step 4: Simplify right side
   12,579x = 379,022,492.25
5. Step 5: Solve for x
   x = 379,022,492.25/12,579
6. Step 6: Final answer
   x = 30,131.37