Finding the Third Proportional to 7,818.75 and 17,085.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,818.75 : 17,085.38 = 17,085.38 : x
2. Step 2: Convert to fraction form
   7,818.75/17,085.38 = 17,085.38/x
3. Step 3: Cross multiply
   7,818.75x = 17,085.38 × 17,085.38
4. Step 4: Simplify right side
   7,818.75x = 291,910,038.89
5. Step 5: Solve for x
   x = 291,910,038.89/7,818.75
6. Step 6: Final answer
   x = 37,334.62