Finding the Third Proportional to 27,641 and 64,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,641 : 64,976.50 = 64,976.50 : x
2. Step 2: Convert to fraction form
   27,641/64,976.50 = 64,976.50/x
3. Step 3: Cross multiply
   27,641x = 64,976.50 × 64,976.50
4. Step 4: Simplify right side
   27,641x = 4,221,945,552.25
5. Step 5: Solve for x
   x = 4,221,945,552.25/27,641
6. Step 6: Final answer
   x = 152,742.14