Finding the Third Proportional to 31,974 and 69,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,974 : 69,670.50 = 69,670.50 : x
2. Step 2: Convert to fraction form
   31,974/69,670.50 = 69,670.50/x
3. Step 3: Cross multiply
   31,974x = 69,670.50 × 69,670.50
4. Step 4: Simplify right side
   31,974x = 4,853,978,570.25
5. Step 5: Solve for x
   x = 4,853,978,570.25/31,974
6. Step 6: Final answer
   x = 151,810.18