Finding the Third Proportional to 37,932 and 78,314

Step by Step Solution

1. Step 1: Write the proportion equation
   37,932 : 78,314 = 78,314 : x
2. Step 2: Convert to fraction form
   37,932/78,314 = 78,314/x
3. Step 3: Cross multiply
   37,932x = 78,314 × 78,314
4. Step 4: Simplify right side
   37,932x = 6,133,082,596
5. Step 5: Solve for x
   x = 6,133,082,596/37,932
6. Step 6: Final answer
   x = 161,686.24