Finding the Third Proportional to 39,641.72 and 83,175.84

Step by Step Solution

1. Step 1: Write the proportion equation
   39,641.72 : 83,175.84 = 83,175.84 : x
2. Step 2: Convert to fraction form
   39,641.72/83,175.84 = 83,175.84/x
3. Step 3: Cross multiply
   39,641.72x = 83,175.84 × 83,175.84
4. Step 4: Simplify right side
   39,641.72x = 6,918,220,983.52
5. Step 5: Solve for x
   x = 6,918,220,983.52/39,641.72
6. Step 6: Final answer
   x = 174,518.69