Finding the Third Proportional to 32,412 and 67,070

Step by Step Solution

1. Step 1: Write the proportion equation
   32,412 : 67,070 = 67,070 : x
2. Step 2: Convert to fraction form
   32,412/67,070 = 67,070/x
3. Step 3: Cross multiply
   32,412x = 67,070 × 67,070
4. Step 4: Simplify right side
   32,412x = 4,498,384,900
5. Step 5: Solve for x
   x = 4,498,384,900/32,412
6. Step 6: Final answer
   x = 138,787.64