Finding the Third Proportional to 9,085.50 and 18,534

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.50 : 18,534 = 18,534 : x
2. Step 2: Convert to fraction form
   9,085.50/18,534 = 18,534/x
3. Step 3: Cross multiply
   9,085.50x = 18,534 × 18,534
4. Step 4: Simplify right side
   9,085.50x = 343,509,156
5. Step 5: Solve for x
   x = 343,509,156/9,085.50
6. Step 6: Final answer
   x = 37,808.50