Finding the Third Proportional to 13,470 and 19,279.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,470 : 19,279.50 = 19,279.50 : x
2. Step 2: Convert to fraction form
   13,470/19,279.50 = 19,279.50/x
3. Step 3: Cross multiply
   13,470x = 19,279.50 × 19,279.50
4. Step 4: Simplify right side
   13,470x = 371,699,120.25
5. Step 5: Solve for x
   x = 371,699,120.25/13,470
6. Step 6: Final answer
   x = 27,594.59