Finding the Third Proportional to 31,643.16 and 67,523.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,643.16 : 67,523.63 = 67,523.63 : x
2. Step 2: Convert to fraction form
   31,643.16/67,523.63 = 67,523.63/x
3. Step 3: Cross multiply
   31,643.16x = 67,523.63 × 67,523.63
4. Step 4: Simplify right side
   31,643.16x = 4,559,439,933.14
5. Step 5: Solve for x
   x = 4,559,439,933.14/31,643.16
6. Step 6: Final answer
   x = 144,089.29