Finding the Third Proportional to 39,846.50 and 83,773

Step by Step Solution

1. Step 1: Write the proportion equation
   39,846.50 : 83,773 = 83,773 : x
2. Step 2: Convert to fraction form
   39,846.50/83,773 = 83,773/x
3. Step 3: Cross multiply
   39,846.50x = 83,773 × 83,773
4. Step 4: Simplify right side
   39,846.50x = 7,017,915,529
5. Step 5: Solve for x
   x = 7,017,915,529/39,846.50
6. Step 6: Final answer
   x = 176,123.76