Finding the Third Proportional to 6,904 and 14,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,904 : 14,784.50 = 14,784.50 : x
2. Step 2: Convert to fraction form
   6,904/14,784.50 = 14,784.50/x
3. Step 3: Cross multiply
   6,904x = 14,784.50 × 14,784.50
4. Step 4: Simplify right side
   6,904x = 218,581,440.25
5. Step 5: Solve for x
   x = 218,581,440.25/6,904
6. Step 6: Final answer
   x = 31,660.12