Finding the Third Proportional to 27,641.25 and 64,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,641.25 : 64,921.50 = 64,921.50 : x
2. Step 2: Convert to fraction form
   27,641.25/64,921.50 = 64,921.50/x
3. Step 3: Cross multiply
   27,641.25x = 64,921.50 × 64,921.50
4. Step 4: Simplify right side
   27,641.25x = 4,214,801,162.25
5. Step 5: Solve for x
   x = 4,214,801,162.25/27,641.25
6. Step 6: Final answer
   x = 152,482.29