Finding the Third Proportional to 59,680 and 83,659

Step by Step Solution

1. Step 1: Write the proportion equation
   59,680 : 83,659 = 83,659 : x
2. Step 2: Convert to fraction form
   59,680/83,659 = 83,659/x
3. Step 3: Cross multiply
   59,680x = 83,659 × 83,659
4. Step 4: Simplify right side
   59,680x = 6,998,828,281
5. Step 5: Solve for x
   x = 6,998,828,281/59,680
6. Step 6: Final answer
   x = 117,272.59