Finding the Third Proportional to 17,738 and 27,465

Step by Step Solution

1. Step 1: Write the proportion equation
   17,738 : 27,465 = 27,465 : x
2. Step 2: Convert to fraction form
   17,738/27,465 = 27,465/x
3. Step 3: Cross multiply
   17,738x = 27,465 × 27,465
4. Step 4: Simplify right side
   17,738x = 754,326,225
5. Step 5: Solve for x
   x = 754,326,225/17,738
6. Step 6: Final answer
   x = 42,526.00