Finding the Third Proportional to 32,924 and 71,440

Step by Step Solution

1. Step 1: Write the proportion equation
   32,924 : 71,440 = 71,440 : x
2. Step 2: Convert to fraction form
   32,924/71,440 = 71,440/x
3. Step 3: Cross multiply
   32,924x = 71,440 × 71,440
4. Step 4: Simplify right side
   32,924x = 5,103,673,600
5. Step 5: Solve for x
   x = 5,103,673,600/32,924
6. Step 6: Final answer
   x = 155,013.78