Finding the Third Proportional to 31,547 and 69,655

Step by Step Solution

1. Step 1: Write the proportion equation
   31,547 : 69,655 = 69,655 : x
2. Step 2: Convert to fraction form
   31,547/69,655 = 69,655/x
3. Step 3: Cross multiply
   31,547x = 69,655 × 69,655
4. Step 4: Simplify right side
   31,547x = 4,851,819,025
5. Step 5: Solve for x
   x = 4,851,819,025/31,547
6. Step 6: Final answer
   x = 153,796.53