Finding the Third Proportional to 32,272 and 70,078

Step by Step Solution

1. Step 1: Write the proportion equation
   32,272 : 70,078 = 70,078 : x
2. Step 2: Convert to fraction form
   32,272/70,078 = 70,078/x
3. Step 3: Cross multiply
   32,272x = 70,078 × 70,078
4. Step 4: Simplify right side
   32,272x = 4,910,926,084
5. Step 5: Solve for x
   x = 4,910,926,084/32,272
6. Step 6: Final answer
   x = 152,172.97