Finding the Third Proportional to 17,970.50 and 38,405

Step by Step Solution

1. Step 1: Write the proportion equation
   17,970.50 : 38,405 = 38,405 : x
2. Step 2: Convert to fraction form
   17,970.50/38,405 = 38,405/x
3. Step 3: Cross multiply
   17,970.50x = 38,405 × 38,405
4. Step 4: Simplify right side
   17,970.50x = 1,474,944,025
5. Step 5: Solve for x
   x = 1,474,944,025/17,970.50
6. Step 6: Final answer
   x = 82,075.85