Finding the Third Proportional to 31,671 and 69,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,671 : 69,619.50 = 69,619.50 : x
2. Step 2: Convert to fraction form
   31,671/69,619.50 = 69,619.50/x
3. Step 3: Cross multiply
   31,671x = 69,619.50 × 69,619.50
4. Step 4: Simplify right side
   31,671x = 4,846,874,780.25
5. Step 5: Solve for x
   x = 4,846,874,780.25/31,671
6. Step 6: Final answer
   x = 153,038.26