Finding the Third Proportional to 8,523.98 and 12,970.13

Step by Step Solution

1. Step 1: Write the proportion equation
   8,523.98 : 12,970.13 = 12,970.13 : x
2. Step 2: Convert to fraction form
   8,523.98/12,970.13 = 12,970.13/x
3. Step 3: Cross multiply
   8,523.98x = 12,970.13 × 12,970.13
4. Step 4: Simplify right side
   8,523.98x = 168,224,142.52
5. Step 5: Solve for x
   x = 168,224,142.52/8,523.98
6. Step 6: Final answer
   x = 19,735.39