Finding the Third Proportional to 17,536 and 35,890

Step by Step Solution

1. Step 1: Write the proportion equation
   17,536 : 35,890 = 35,890 : x
2. Step 2: Convert to fraction form
   17,536/35,890 = 35,890/x
3. Step 3: Cross multiply
   17,536x = 35,890 × 35,890
4. Step 4: Simplify right side
   17,536x = 1,288,092,100
5. Step 5: Solve for x
   x = 1,288,092,100/17,536
6. Step 6: Final answer
   x = 73,454.16