Finding the Third Proportional to 37,759 and 59,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,759 : 59,986.50 = 59,986.50 : x
2. Step 2: Convert to fraction form
   37,759/59,986.50 = 59,986.50/x
3. Step 3: Cross multiply
   37,759x = 59,986.50 × 59,986.50
4. Step 4: Simplify right side
   37,759x = 3,598,380,182.25
5. Step 5: Solve for x
   x = 3,598,380,182.25/37,759
6. Step 6: Final answer
   x = 95,298.61