Finding the Third Proportional to 59,727 and 83,716.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,727 : 83,716.50 = 83,716.50 : x
2. Step 2: Convert to fraction form
   59,727/83,716.50 = 83,716.50/x
3. Step 3: Cross multiply
   59,727x = 83,716.50 × 83,716.50
4. Step 4: Simplify right side
   59,727x = 7,008,452,372.25
5. Step 5: Solve for x
   x = 7,008,452,372.25/59,727
6. Step 6: Final answer
   x = 117,341.44