Finding the Third Proportional to 31,829 and 69,490

Step by Step Solution

1. Step 1: Write the proportion equation
   31,829 : 69,490 = 69,490 : x
2. Step 2: Convert to fraction form
   31,829/69,490 = 69,490/x
3. Step 3: Cross multiply
   31,829x = 69,490 × 69,490
4. Step 4: Simplify right side
   31,829x = 4,828,860,100
5. Step 5: Solve for x
   x = 4,828,860,100/31,829
6. Step 6: Final answer
   x = 151,712.59