Finding the Third Proportional to 39,907.50 and 83,195.06

Step by Step Solution

1. Step 1: Write the proportion equation
   39,907.50 : 83,195.06 = 83,195.06 : x
2. Step 2: Convert to fraction form
   39,907.50/83,195.06 = 83,195.06/x
3. Step 3: Cross multiply
   39,907.50x = 83,195.06 × 83,195.06
4. Step 4: Simplify right side
   39,907.50x = 6,921,418,424.38
5. Step 5: Solve for x
   x = 6,921,418,424.38/39,907.50
6. Step 6: Final answer
   x = 173,436.53