Finding the Third Proportional to 30,591 and 64,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,591 : 64,858.50 = 64,858.50 : x
2. Step 2: Convert to fraction form
   30,591/64,858.50 = 64,858.50/x
3. Step 3: Cross multiply
   30,591x = 64,858.50 × 64,858.50
4. Step 4: Simplify right side
   30,591x = 4,206,625,022.25
5. Step 5: Solve for x
   x = 4,206,625,022.25/30,591
6. Step 6: Final answer
   x = 137,511.85