Finding the Third Proportional to 58,724 and 83,676

Step by Step Solution

1. Step 1: Write the proportion equation
   58,724 : 83,676 = 83,676 : x
2. Step 2: Convert to fraction form
   58,724/83,676 = 83,676/x
3. Step 3: Cross multiply
   58,724x = 83,676 × 83,676
4. Step 4: Simplify right side
   58,724x = 7,001,672,976
5. Step 5: Solve for x
   x = 7,001,672,976/58,724
6. Step 6: Final answer
   x = 119,230.18