Finding the Third Proportional to 32,192 and 70,432

Step by Step Solution

1. Step 1: Write the proportion equation
   32,192 : 70,432 = 70,432 : x
2. Step 2: Convert to fraction form
   32,192/70,432 = 70,432/x
3. Step 3: Cross multiply
   32,192x = 70,432 × 70,432
4. Step 4: Simplify right side
   32,192x = 4,960,666,624
5. Step 5: Solve for x
   x = 4,960,666,624/32,192
6. Step 6: Final answer
   x = 154,096.25