Finding the Third Proportional to 19,128.50 and 29,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,128.50 : 29,546.50 = 29,546.50 : x
2. Step 2: Convert to fraction form
   19,128.50/29,546.50 = 29,546.50/x
3. Step 3: Cross multiply
   19,128.50x = 29,546.50 × 29,546.50
4. Step 4: Simplify right side
   19,128.50x = 872,995,662.25
5. Step 5: Solve for x
   x = 872,995,662.25/19,128.50
6. Step 6: Final answer
   x = 45,638.48