Finding the Third Proportional to 17,534.50 and 37,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534.50 : 37,742.50 = 37,742.50 : x
2. Step 2: Convert to fraction form
   17,534.50/37,742.50 = 37,742.50/x
3. Step 3: Cross multiply
   17,534.50x = 37,742.50 × 37,742.50
4. Step 4: Simplify right side
   17,534.50x = 1,424,496,306.25
5. Step 5: Solve for x
   x = 1,424,496,306.25/17,534.50
6. Step 6: Final answer
   x = 81,239.63