Finding the Third Proportional to 12,706.50 and 19,223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,706.50 : 19,223.25 = 19,223.25 : x
2. Step 2: Convert to fraction form
   12,706.50/19,223.25 = 19,223.25/x
3. Step 3: Cross multiply
   12,706.50x = 19,223.25 × 19,223.25
4. Step 4: Simplify right side
   12,706.50x = 369,533,340.56
5. Step 5: Solve for x
   x = 369,533,340.56/12,706.50
6. Step 6: Final answer
   x = 29,082.23