Finding the Third Proportional to 12,141 and 19,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,141 : 19,048.50 = 19,048.50 : x
2. Step 2: Convert to fraction form
   12,141/19,048.50 = 19,048.50/x
3. Step 3: Cross multiply
   12,141x = 19,048.50 × 19,048.50
4. Step 4: Simplify right side
   12,141x = 362,845,352.25
5. Step 5: Solve for x
   x = 362,845,352.25/12,141
6. Step 6: Final answer
   x = 29,885.95