Finding the Third Proportional to 6,835.50 and 14,947.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,835.50 : 14,947.88 = 14,947.88 : x
2. Step 2: Convert to fraction form
   6,835.50/14,947.88 = 14,947.88/x
3. Step 3: Cross multiply
   6,835.50x = 14,947.88 × 14,947.88
4. Step 4: Simplify right side
   6,835.50x = 223,438,967.02
5. Step 5: Solve for x
   x = 223,438,967.02/6,835.50
6. Step 6: Final answer
   x = 32,688.02