Finding the Third Proportional to 12,970.13 and 19,824.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,970.13 : 19,824.75 = 19,824.75 : x
2. Step 2: Convert to fraction form
   12,970.13/19,824.75 = 19,824.75/x
3. Step 3: Cross multiply
   12,970.13x = 19,824.75 × 19,824.75
4. Step 4: Simplify right side
   12,970.13x = 393,020,712.56
5. Step 5: Solve for x
   x = 393,020,712.56/12,970.13
6. Step 6: Final answer
   x = 30,302.00