Finding the Third Proportional to 17,254 and 37,772

Step by Step Solution

1. Step 1: Write the proportion equation
   17,254 : 37,772 = 37,772 : x
2. Step 2: Convert to fraction form
   17,254/37,772 = 37,772/x
3. Step 3: Cross multiply
   17,254x = 37,772 × 37,772
4. Step 4: Simplify right side
   17,254x = 1,426,723,984
5. Step 5: Solve for x
   x = 1,426,723,984/17,254
6. Step 6: Final answer
   x = 82,689.46