Finding the Third Proportional to 32,971 and 72,664.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,971 : 72,664.75 = 72,664.75 : x
2. Step 2: Convert to fraction form
   32,971/72,664.75 = 72,664.75/x
3. Step 3: Cross multiply
   32,971x = 72,664.75 × 72,664.75
4. Step 4: Simplify right side
   32,971x = 5,280,165,892.56
5. Step 5: Solve for x
   x = 5,280,165,892.56/32,971
6. Step 6: Final answer
   x = 160,145.76