Finding the Third Proportional to 6,590.25 and 10,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,590.25 : 10,471.50 = 10,471.50 : x
2. Step 2: Convert to fraction form
   6,590.25/10,471.50 = 10,471.50/x
3. Step 3: Cross multiply
   6,590.25x = 10,471.50 × 10,471.50
4. Step 4: Simplify right side
   6,590.25x = 109,652,312.25
5. Step 5: Solve for x
   x = 109,652,312.25/6,590.25
6. Step 6: Final answer
   x = 16,638.57