Finding the Third Proportional to 6,415.88 and 14,095.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,415.88 : 14,095.69 = 14,095.69 : x
2. Step 2: Convert to fraction form
   6,415.88/14,095.69 = 14,095.69/x
3. Step 3: Cross multiply
   6,415.88x = 14,095.69 × 14,095.69
4. Step 4: Simplify right side
   6,415.88x = 198,688,406.10
5. Step 5: Solve for x
   x = 198,688,406.10/6,415.88
6. Step 6: Final answer
   x = 30,968.25