Finding the Third Proportional to 35,907 and 83,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,907 : 83,872.50 = 83,872.50 : x
2. Step 2: Convert to fraction form
   35,907/83,872.50 = 83,872.50/x
3. Step 3: Cross multiply
   35,907x = 83,872.50 × 83,872.50
4. Step 4: Simplify right side
   35,907x = 7,034,596,256.25
5. Step 5: Solve for x
   x = 7,034,596,256.25/35,907
6. Step 6: Final answer
   x = 195,911.56