Finding the Third Proportional to 30,464 and 45,695

Step by Step Solution

1. Step 1: Write the proportion equation
   30,464 : 45,695 = 45,695 : x
2. Step 2: Convert to fraction form
   30,464/45,695 = 45,695/x
3. Step 3: Cross multiply
   30,464x = 45,695 × 45,695
4. Step 4: Simplify right side
   30,464x = 2,088,033,025
5. Step 5: Solve for x
   x = 2,088,033,025/30,464
6. Step 6: Final answer
   x = 68,541.00