Finding the Third Proportional to 39,857.50 and 83,846

Step by Step Solution

1. Step 1: Write the proportion equation
   39,857.50 : 83,846 = 83,846 : x
2. Step 2: Convert to fraction form
   39,857.50/83,846 = 83,846/x
3. Step 3: Cross multiply
   39,857.50x = 83,846 × 83,846
4. Step 4: Simplify right side
   39,857.50x = 7,030,151,716
5. Step 5: Solve for x
   x = 7,030,151,716/39,857.50
6. Step 6: Final answer
   x = 176,382.15