Finding the Third Proportional to 31,365 and 67,527

Step by Step Solution

1. Step 1: Write the proportion equation
   31,365 : 67,527 = 67,527 : x
2. Step 2: Convert to fraction form
   31,365/67,527 = 67,527/x
3. Step 3: Cross multiply
   31,365x = 67,527 × 67,527
4. Step 4: Simplify right side
   31,365x = 4,559,895,729
5. Step 5: Solve for x
   x = 4,559,895,729/31,365
6. Step 6: Final answer
   x = 145,381.66