Finding the Third Proportional to 17,178 and 26,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,178 : 26,005.50 = 26,005.50 : x
2. Step 2: Convert to fraction form
   17,178/26,005.50 = 26,005.50/x
3. Step 3: Cross multiply
   17,178x = 26,005.50 × 26,005.50
4. Step 4: Simplify right side
   17,178x = 676,286,030.25
5. Step 5: Solve for x
   x = 676,286,030.25/17,178
6. Step 6: Final answer
   x = 39,369.31