Finding the Third Proportional to 37,988 and 78,405

Step by Step Solution

1. Step 1: Write the proportion equation
   37,988 : 78,405 = 78,405 : x
2. Step 2: Convert to fraction form
   37,988/78,405 = 78,405/x
3. Step 3: Cross multiply
   37,988x = 78,405 × 78,405
4. Step 4: Simplify right side
   37,988x = 6,147,344,025
5. Step 5: Solve for x
   x = 6,147,344,025/37,988
6. Step 6: Final answer
   x = 161,823.31