Finding the Third Proportional to 7,881.75 and 17,851.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,881.75 : 17,851.50 = 17,851.50 : x
2. Step 2: Convert to fraction form
   7,881.75/17,851.50 = 17,851.50/x
3. Step 3: Cross multiply
   7,881.75x = 17,851.50 × 17,851.50
4. Step 4: Simplify right side
   7,881.75x = 318,676,052.25
5. Step 5: Solve for x
   x = 318,676,052.25/7,881.75
6. Step 6: Final answer
   x = 40,432.14