Finding the Third Proportional to 42,516 and 66,204

Step by Step Solution

1. Step 1: Write the proportion equation
   42,516 : 66,204 = 66,204 : x
2. Step 2: Convert to fraction form
   42,516/66,204 = 66,204/x
3. Step 3: Cross multiply
   42,516x = 66,204 × 66,204
4. Step 4: Simplify right side
   42,516x = 4,382,969,616
5. Step 5: Solve for x
   x = 4,382,969,616/42,516
6. Step 6: Final answer
   x = 103,089.89