Finding the Third Proportional to 6,925 and 12,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,925 : 12,816.50 = 12,816.50 : x
2. Step 2: Convert to fraction form
   6,925/12,816.50 = 12,816.50/x
3. Step 3: Cross multiply
   6,925x = 12,816.50 × 12,816.50
4. Step 4: Simplify right side
   6,925x = 164,262,672.25
5. Step 5: Solve for x
   x = 164,262,672.25/6,925
6. Step 6: Final answer
   x = 23,720.24