Finding the Third Proportional to 17,685 and 38,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,685 : 38,527.50 = 38,527.50 : x
2. Step 2: Convert to fraction form
   17,685/38,527.50 = 38,527.50/x
3. Step 3: Cross multiply
   17,685x = 38,527.50 × 38,527.50
4. Step 4: Simplify right side
   17,685x = 1,484,368,256.25
5. Step 5: Solve for x
   x = 1,484,368,256.25/17,685
6. Step 6: Final answer
   x = 83,933.74