Finding the Third Proportional to 17,654.50 and 27,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,654.50 : 27,523.50 = 27,523.50 : x
2. Step 2: Convert to fraction form
   17,654.50/27,523.50 = 27,523.50/x
3. Step 3: Cross multiply
   17,654.50x = 27,523.50 × 27,523.50
4. Step 4: Simplify right side
   17,654.50x = 757,543,052.25
5. Step 5: Solve for x
   x = 757,543,052.25/17,654.50
6. Step 6: Final answer
   x = 42,909.35