Finding the Third Proportional to 17,752 and 27,358

Step by Step Solution

1. Step 1: Write the proportion equation
   17,752 : 27,358 = 27,358 : x
2. Step 2: Convert to fraction form
   17,752/27,358 = 27,358/x
3. Step 3: Cross multiply
   17,752x = 27,358 × 27,358
4. Step 4: Simplify right side
   17,752x = 748,460,164
5. Step 5: Solve for x
   x = 748,460,164/17,752
6. Step 6: Final answer
   x = 42,162.02