Finding the Third Proportional to 13,729.50 and 29,777.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,729.50 : 29,777.63 = 29,777.63 : x
2. Step 2: Convert to fraction form
   13,729.50/29,777.63 = 29,777.63/x
3. Step 3: Cross multiply
   13,729.50x = 29,777.63 × 29,777.63
4. Step 4: Simplify right side
   13,729.50x = 886,706,950.64
5. Step 5: Solve for x
   x = 886,706,950.64/13,729.50
6. Step 6: Final answer
   x = 64,584.07