Finding the Third Proportional to 12,643.59 and 23,009.06

Step by Step Solution

1. Step 1: Write the proportion equation
   12,643.59 : 23,009.06 = 23,009.06 : x
2. Step 2: Convert to fraction form
   12,643.59/23,009.06 = 23,009.06/x
3. Step 3: Cross multiply
   12,643.59x = 23,009.06 × 23,009.06
4. Step 4: Simplify right side
   12,643.59x = 529,416,957.13
5. Step 5: Solve for x
   x = 529,416,957.13/12,643.59
6. Step 6: Final answer
   x = 41,872.35