Finding the Third Proportional to 31,549 and 69,659

Step by Step Solution

1. Step 1: Write the proportion equation
   31,549 : 69,659 = 69,659 : x
2. Step 2: Convert to fraction form
   31,549/69,659 = 69,659/x
3. Step 3: Cross multiply
   31,549x = 69,659 × 69,659
4. Step 4: Simplify right side
   31,549x = 4,852,376,281
5. Step 5: Solve for x
   x = 4,852,376,281/31,549
6. Step 6: Final answer
   x = 153,804.44