Finding the Third Proportional to 41,952 and 83,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,952 : 83,872.50 = 83,872.50 : x
2. Step 2: Convert to fraction form
   41,952/83,872.50 = 83,872.50/x
3. Step 3: Cross multiply
   41,952x = 83,872.50 × 83,872.50
4. Step 4: Simplify right side
   41,952x = 7,034,596,256.25
5. Step 5: Solve for x
   x = 7,034,596,256.25/41,952
6. Step 6: Final answer
   x = 167,682.02