Finding the Third Proportional to 42,396 and 83,725

Step by Step Solution

1. Step 1: Write the proportion equation
   42,396 : 83,725 = 83,725 : x
2. Step 2: Convert to fraction form
   42,396/83,725 = 83,725/x
3. Step 3: Cross multiply
   42,396x = 83,725 × 83,725
4. Step 4: Simplify right side
   42,396x = 7,009,875,625
5. Step 5: Solve for x
   x = 7,009,875,625/42,396
6. Step 6: Final answer
   x = 165,342.85