Finding the Third Proportional to 17,852 and 42,294.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,852 : 42,294.25 = 42,294.25 : x
2. Step 2: Convert to fraction form
   17,852/42,294.25 = 42,294.25/x
3. Step 3: Cross multiply
   17,852x = 42,294.25 × 42,294.25
4. Step 4: Simplify right side
   17,852x = 1,788,803,583.06
5. Step 5: Solve for x
   x = 1,788,803,583.06/17,852
6. Step 6: Final answer
   x = 100,201.86