Finding the Third Proportional to 6,925.50 and 16,259.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,925.50 : 16,259.06 = 16,259.06 : x
2. Step 2: Convert to fraction form
   6,925.50/16,259.06 = 16,259.06/x
3. Step 3: Cross multiply
   6,925.50x = 16,259.06 × 16,259.06
4. Step 4: Simplify right side
   6,925.50x = 264,357,113.38
5. Step 5: Solve for x
   x = 264,357,113.38/6,925.50
6. Step 6: Final answer
   x = 38,171.56