Finding the Third Proportional to 13,813.88 and 29,966.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,813.88 : 29,966.63 = 29,966.63 : x
2. Step 2: Convert to fraction form
   13,813.88/29,966.63 = 29,966.63/x
3. Step 3: Cross multiply
   13,813.88x = 29,966.63 × 29,966.63
4. Step 4: Simplify right side
   13,813.88x = 897,998,613.89
5. Step 5: Solve for x
   x = 897,998,613.89/13,813.88
6. Step 6: Final answer
   x = 65,007.00