Finding the Third Proportional to 13,005.56 and 21,834.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,005.56 : 21,834.56 = 21,834.56 : x
2. Step 2: Convert to fraction form
   13,005.56/21,834.56 = 21,834.56/x
3. Step 3: Cross multiply
   13,005.56x = 21,834.56 × 21,834.56
4. Step 4: Simplify right side
   13,005.56x = 476,748,119.57
5. Step 5: Solve for x
   x = 476,748,119.57/13,005.56
6. Step 6: Final answer
   x = 36,657.25