Finding the Third Proportional to 32,760 and 70,194.38

Step by Step Solution

1. Step 1: Write the proportion equation
   32,760 : 70,194.38 = 70,194.38 : x
2. Step 2: Convert to fraction form
   32,760/70,194.38 = 70,194.38/x
3. Step 3: Cross multiply
   32,760x = 70,194.38 × 70,194.38
4. Step 4: Simplify right side
   32,760x = 4,927,250,281.64
5. Step 5: Solve for x
   x = 4,927,250,281.64/32,760
6. Step 6: Final answer
   x = 150,404.47