Finding the Third Proportional to 39,232 and 80,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,232 : 80,529.50 = 80,529.50 : x
2. Step 2: Convert to fraction form
   39,232/80,529.50 = 80,529.50/x
3. Step 3: Cross multiply
   39,232x = 80,529.50 × 80,529.50
4. Step 4: Simplify right side
   39,232x = 6,485,000,370.25
5. Step 5: Solve for x
   x = 6,485,000,370.25/39,232
6. Step 6: Final answer
   x = 165,298.75