Finding the Third Proportional to 6,898.50 and 10,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,898.50 : 10,927.50 = 10,927.50 : x
2. Step 2: Convert to fraction form
   6,898.50/10,927.50 = 10,927.50/x
3. Step 3: Cross multiply
   6,898.50x = 10,927.50 × 10,927.50
4. Step 4: Simplify right side
   6,898.50x = 119,410,256.25
5. Step 5: Solve for x
   x = 119,410,256.25/6,898.50
6. Step 6: Final answer
   x = 17,309.60