Finding the Third Proportional to 39,376.50 and 86,408.06

Step by Step Solution

1. Step 1: Write the proportion equation
   39,376.50 : 86,408.06 = 86,408.06 : x
2. Step 2: Convert to fraction form
   39,376.50/86,408.06 = 86,408.06/x
3. Step 3: Cross multiply
   39,376.50x = 86,408.06 × 86,408.06
4. Step 4: Simplify right side
   39,376.50x = 7,466,353,265.00
5. Step 5: Solve for x
   x = 7,466,353,265.00/39,376.50
6. Step 6: Final answer
   x = 189,614.45