Finding the Third Proportional to 32,224 and 45,616

Step by Step Solution

1. Step 1: Write the proportion equation
   32,224 : 45,616 = 45,616 : x
2. Step 2: Convert to fraction form
   32,224/45,616 = 45,616/x
3. Step 3: Cross multiply
   32,224x = 45,616 × 45,616
4. Step 4: Simplify right side
   32,224x = 2,080,819,456
5. Step 5: Solve for x
   x = 2,080,819,456/32,224
6. Step 6: Final answer
   x = 64,573.59