Finding the Third Proportional to 31,495 and 69,133

Step by Step Solution

1. Step 1: Write the proportion equation
   31,495 : 69,133 = 69,133 : x
2. Step 2: Convert to fraction form
   31,495/69,133 = 69,133/x
3. Step 3: Cross multiply
   31,495x = 69,133 × 69,133
4. Step 4: Simplify right side
   31,495x = 4,779,371,689
5. Step 5: Solve for x
   x = 4,779,371,689/31,495
6. Step 6: Final answer
   x = 151,750.17