Finding the Third Proportional to 16,820 and 26,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,820 : 26,387.50 = 26,387.50 : x
2. Step 2: Convert to fraction form
   16,820/26,387.50 = 26,387.50/x
3. Step 3: Cross multiply
   16,820x = 26,387.50 × 26,387.50
4. Step 4: Simplify right side
   16,820x = 696,300,156.25
5. Step 5: Solve for x
   x = 696,300,156.25/16,820
6. Step 6: Final answer
   x = 41,397.16