Finding the Third Proportional to 59,672 and 83,649

Step by Step Solution

1. Step 1: Write the proportion equation
   59,672 : 83,649 = 83,649 : x
2. Step 2: Convert to fraction form
   59,672/83,649 = 83,649/x
3. Step 3: Cross multiply
   59,672x = 83,649 × 83,649
4. Step 4: Simplify right side
   59,672x = 6,997,155,201
5. Step 5: Solve for x
   x = 6,997,155,201/59,672
6. Step 6: Final answer
   x = 117,260.28