Finding the Third Proportional to 42,372 and 83,672

Step by Step Solution

1. Step 1: Write the proportion equation
   42,372 : 83,672 = 83,672 : x
2. Step 2: Convert to fraction form
   42,372/83,672 = 83,672/x
3. Step 3: Cross multiply
   42,372x = 83,672 × 83,672
4. Step 4: Simplify right side
   42,372x = 7,001,003,584
5. Step 5: Solve for x
   x = 7,001,003,584/42,372
6. Step 6: Final answer
   x = 165,227.12