Finding the Third Proportional to 31,688 and 69,913

Step by Step Solution

1. Step 1: Write the proportion equation
   31,688 : 69,913 = 69,913 : x
2. Step 2: Convert to fraction form
   31,688/69,913 = 69,913/x
3. Step 3: Cross multiply
   31,688x = 69,913 × 69,913
4. Step 4: Simplify right side
   31,688x = 4,887,827,569
5. Step 5: Solve for x
   x = 4,887,827,569/31,688
6. Step 6: Final answer
   x = 154,248.53