Finding the Third Proportional to 32,912 and 72,070

Step by Step Solution

1. Step 1: Write the proportion equation
   32,912 : 72,070 = 72,070 : x
2. Step 2: Convert to fraction form
   32,912/72,070 = 72,070/x
3. Step 3: Cross multiply
   32,912x = 72,070 × 72,070
4. Step 4: Simplify right side
   32,912x = 5,194,084,900
5. Step 5: Solve for x
   x = 5,194,084,900/32,912
6. Step 6: Final answer
   x = 157,817.36