Finding the Third Proportional to 13,665.38 and 29,885.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,665.38 : 29,885.63 = 29,885.63 : x
2. Step 2: Convert to fraction form
   13,665.38/29,885.63 = 29,885.63/x
3. Step 3: Cross multiply
   13,665.38x = 29,885.63 × 29,885.63
4. Step 4: Simplify right side
   13,665.38x = 893,150,581.64
5. Step 5: Solve for x
   x = 893,150,581.64/13,665.38
6. Step 6: Final answer
   x = 65,358.66