Finding the Third Proportional to 17,536 and 38,152

Step by Step Solution

1. Step 1: Write the proportion equation
   17,536 : 38,152 = 38,152 : x
2. Step 2: Convert to fraction form
   17,536/38,152 = 38,152/x
3. Step 3: Cross multiply
   17,536x = 38,152 × 38,152
4. Step 4: Simplify right side
   17,536x = 1,455,575,104
5. Step 5: Solve for x
   x = 1,455,575,104/17,536
6. Step 6: Final answer
   x = 83,004.97