Finding the Third Proportional to 12,970.13 and 23,707.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,970.13 : 23,707.69 = 23,707.69 : x
2. Step 2: Convert to fraction form
   12,970.13/23,707.69 = 23,707.69/x
3. Step 3: Cross multiply
   12,970.13x = 23,707.69 × 23,707.69
4. Step 4: Simplify right side
   12,970.13x = 562,054,446.60
5. Step 5: Solve for x
   x = 562,054,446.60/12,970.13
6. Step 6: Final answer
   x = 43,334.54