Finding the Third Proportional to 31,506 and 45,396

Step by Step Solution

1. Step 1: Write the proportion equation
   31,506 : 45,396 = 45,396 : x
2. Step 2: Convert to fraction form
   31,506/45,396 = 45,396/x
3. Step 3: Cross multiply
   31,506x = 45,396 × 45,396
4. Step 4: Simplify right side
   31,506x = 2,060,796,816
5. Step 5: Solve for x
   x = 2,060,796,816/31,506
6. Step 6: Final answer
   x = 65,409.66