Finding the Third Proportional to 31,966 and 69,509

Step by Step Solution

1. Step 1: Write the proportion equation
   31,966 : 69,509 = 69,509 : x
2. Step 2: Convert to fraction form
   31,966/69,509 = 69,509/x
3. Step 3: Cross multiply
   31,966x = 69,509 × 69,509
4. Step 4: Simplify right side
   31,966x = 4,831,501,081
5. Step 5: Solve for x
   x = 4,831,501,081/31,966
6. Step 6: Final answer
   x = 151,145.00