Finding the Third Proportional to 32,400 and 70,896

Step by Step Solution

1. Step 1: Write the proportion equation
   32,400 : 70,896 = 70,896 : x
2. Step 2: Convert to fraction form
   32,400/70,896 = 70,896/x
3. Step 3: Cross multiply
   32,400x = 70,896 × 70,896
4. Step 4: Simplify right side
   32,400x = 5,026,242,816
5. Step 5: Solve for x
   x = 5,026,242,816/32,400
6. Step 6: Final answer
   x = 155,130.95