Finding the Third Proportional to 32,216 and 45,624

Step by Step Solution

1. Step 1: Write the proportion equation
   32,216 : 45,624 = 45,624 : x
2. Step 2: Convert to fraction form
   32,216/45,624 = 45,624/x
3. Step 3: Cross multiply
   32,216x = 45,624 × 45,624
4. Step 4: Simplify right side
   32,216x = 2,081,549,376
5. Step 5: Solve for x
   x = 2,081,549,376/32,216
6. Step 6: Final answer
   x = 64,612.29