Finding the Third Proportional to 42,367.50 and 83,664

Step by Step Solution

1. Step 1: Write the proportion equation
   42,367.50 : 83,664 = 83,664 : x
2. Step 2: Convert to fraction form
   42,367.50/83,664 = 83,664/x
3. Step 3: Cross multiply
   42,367.50x = 83,664 × 83,664
4. Step 4: Simplify right side
   42,367.50x = 6,999,664,896
5. Step 5: Solve for x
   x = 6,999,664,896/42,367.50
6. Step 6: Final answer
   x = 165,213.07