Finding the Third Proportional to 31,301 and 69,599

Step by Step Solution

1. Step 1: Write the proportion equation
   31,301 : 69,599 = 69,599 : x
2. Step 2: Convert to fraction form
   31,301/69,599 = 69,599/x
3. Step 3: Cross multiply
   31,301x = 69,599 × 69,599
4. Step 4: Simplify right side
   31,301x = 4,844,020,801
5. Step 5: Solve for x
   x = 4,844,020,801/31,301
6. Step 6: Final answer
   x = 154,756.10