Finding the Third Proportional to 38,496 and 57,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,496 : 57,586.50 = 57,586.50 : x
2. Step 2: Convert to fraction form
   38,496/57,586.50 = 57,586.50/x
3. Step 3: Cross multiply
   38,496x = 57,586.50 × 57,586.50
4. Step 4: Simplify right side
   38,496x = 3,316,204,982.25
5. Step 5: Solve for x
   x = 3,316,204,982.25/38,496
6. Step 6: Final answer
   x = 86,144.14