Finding the Third Proportional to 39,877.50 and 83,886

Step by Step Solution

1. Step 1: Write the proportion equation
   39,877.50 : 83,886 = 83,886 : x
2. Step 2: Convert to fraction form
   39,877.50/83,886 = 83,886/x
3. Step 3: Cross multiply
   39,877.50x = 83,886 × 83,886
4. Step 4: Simplify right side
   39,877.50x = 7,036,860,996
5. Step 5: Solve for x
   x = 7,036,860,996/39,877.50
6. Step 6: Final answer
   x = 176,461.94