Finding the Third Proportional to 17,852 and 42,213

Step by Step Solution

1. Step 1: Write the proportion equation
   17,852 : 42,213 = 42,213 : x
2. Step 2: Convert to fraction form
   17,852/42,213 = 42,213/x
3. Step 3: Cross multiply
   17,852x = 42,213 × 42,213
4. Step 4: Simplify right side
   17,852x = 1,781,937,369
5. Step 5: Solve for x
   x = 1,781,937,369/17,852
6. Step 6: Final answer
   x = 99,817.24