Finding the Third Proportional to 31,438 and 45,465

Step by Step Solution

1. Step 1: Write the proportion equation
   31,438 : 45,465 = 45,465 : x
2. Step 2: Convert to fraction form
   31,438/45,465 = 45,465/x
3. Step 3: Cross multiply
   31,438x = 45,465 × 45,465
4. Step 4: Simplify right side
   31,438x = 2,067,066,225
5. Step 5: Solve for x
   x = 2,067,066,225/31,438
6. Step 6: Final answer
   x = 65,750.56