Finding the Third Proportional to 31,974 and 47,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,974 : 47,029.50 = 47,029.50 : x
2. Step 2: Convert to fraction form
   31,974/47,029.50 = 47,029.50/x
3. Step 3: Cross multiply
   31,974x = 47,029.50 × 47,029.50
4. Step 4: Simplify right side
   31,974x = 2,211,773,870.25
5. Step 5: Solve for x
   x = 2,211,773,870.25/31,974
6. Step 6: Final answer
   x = 69,174.14