Finding the Third Proportional to 31,536 and 69,120

Step by Step Solution

1. Step 1: Write the proportion equation
   31,536 : 69,120 = 69,120 : x
2. Step 2: Convert to fraction form
   31,536/69,120 = 69,120/x
3. Step 3: Cross multiply
   31,536x = 69,120 × 69,120
4. Step 4: Simplify right side
   31,536x = 4,777,574,400
5. Step 5: Solve for x
   x = 4,777,574,400/31,536
6. Step 6: Final answer
   x = 151,495.89