Finding the Third Proportional to 31,580 and 69,100

Step by Step Solution

1. Step 1: Write the proportion equation
   31,580 : 69,100 = 69,100 : x
2. Step 2: Convert to fraction form
   31,580/69,100 = 69,100/x
3. Step 3: Cross multiply
   31,580x = 69,100 × 69,100
4. Step 4: Simplify right side
   31,580x = 4,774,810,000
5. Step 5: Solve for x
   x = 4,774,810,000/31,580
6. Step 6: Final answer
   x = 151,197.28