Finding the Third Proportional to 14,186.81 and 30,538.69

Step by Step Solution

1. Step 1: Write the proportion equation
   14,186.81 : 30,538.69 = 30,538.69 : x
2. Step 2: Convert to fraction form
   14,186.81/30,538.69 = 30,538.69/x
3. Step 3: Cross multiply
   14,186.81x = 30,538.69 × 30,538.69
4. Step 4: Simplify right side
   14,186.81x = 932,611,434.22
5. Step 5: Solve for x
   x = 932,611,434.22/14,186.81
6. Step 6: Final answer
   x = 65,737.91