Finding the Third Proportional to 12,154 and 19,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,154 : 19,041.50 = 19,041.50 : x
2. Step 2: Convert to fraction form
   12,154/19,041.50 = 19,041.50/x
3. Step 3: Cross multiply
   12,154x = 19,041.50 × 19,041.50
4. Step 4: Simplify right side
   12,154x = 362,578,722.25
5. Step 5: Solve for x
   x = 362,578,722.25/12,154
6. Step 6: Final answer
   x = 29,832.05