Finding the Third Proportional to 5,077.50 and 9,426

Step by Step Solution

1. Step 1: Write the proportion equation
   5,077.50 : 9,426 = 9,426 : x
2. Step 2: Convert to fraction form
   5,077.50/9,426 = 9,426/x
3. Step 3: Cross multiply
   5,077.50x = 9,426 × 9,426
4. Step 4: Simplify right side
   5,077.50x = 88,849,476
5. Step 5: Solve for x
   x = 88,849,476/5,077.50
6. Step 6: Final answer
   x = 17,498.67