Finding the Third Proportional to 59,537 and 83,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,537 : 83,241.50 = 83,241.50 : x
2. Step 2: Convert to fraction form
   59,537/83,241.50 = 83,241.50/x
3. Step 3: Cross multiply
   59,537x = 83,241.50 × 83,241.50
4. Step 4: Simplify right side
   59,537x = 6,929,147,322.25
5. Step 5: Solve for x
   x = 6,929,147,322.25/59,537
6. Step 6: Final answer
   x = 116,383.88