Finding the Third Proportional to 39,435 and 85,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,435 : 85,429.50 = 85,429.50 : x
2. Step 2: Convert to fraction form
   39,435/85,429.50 = 85,429.50/x
3. Step 3: Cross multiply
   39,435x = 85,429.50 × 85,429.50
4. Step 4: Simplify right side
   39,435x = 7,298,199,470.25
5. Step 5: Solve for x
   x = 7,298,199,470.25/39,435
6. Step 6: Final answer
   x = 185,069.09