Finding the Third Proportional to 32,250 and 45,674

Step by Step Solution

1. Step 1: Write the proportion equation
   32,250 : 45,674 = 45,674 : x
2. Step 2: Convert to fraction form
   32,250/45,674 = 45,674/x
3. Step 3: Cross multiply
   32,250x = 45,674 × 45,674
4. Step 4: Simplify right side
   32,250x = 2,086,114,276
5. Step 5: Solve for x
   x = 2,086,114,276/32,250
6. Step 6: Final answer
   x = 64,685.71