Finding the Third Proportional to 31,643 and 69,602

Step by Step Solution

1. Step 1: Write the proportion equation
   31,643 : 69,602 = 69,602 : x
2. Step 2: Convert to fraction form
   31,643/69,602 = 69,602/x
3. Step 3: Cross multiply
   31,643x = 69,602 × 69,602
4. Step 4: Simplify right side
   31,643x = 4,844,438,404
5. Step 5: Solve for x
   x = 4,844,438,404/31,643
6. Step 6: Final answer
   x = 153,096.69