Finding the Third Proportional to 42,495 and 83,934

Step by Step Solution

1. Step 1: Write the proportion equation
   42,495 : 83,934 = 83,934 : x
2. Step 2: Convert to fraction form
   42,495/83,934 = 83,934/x
3. Step 3: Cross multiply
   42,495x = 83,934 × 83,934
4. Step 4: Simplify right side
   42,495x = 7,044,916,356
5. Step 5: Solve for x
   x = 7,044,916,356/42,495
6. Step 6: Final answer
   x = 165,782.24