Finding the Third Proportional to 32,971.50 and 69,867

Step by Step Solution

1. Step 1: Write the proportion equation
   32,971.50 : 69,867 = 69,867 : x
2. Step 2: Convert to fraction form
   32,971.50/69,867 = 69,867/x
3. Step 3: Cross multiply
   32,971.50x = 69,867 × 69,867
4. Step 4: Simplify right side
   32,971.50x = 4,881,397,689
5. Step 5: Solve for x
   x = 4,881,397,689/32,971.50
6. Step 6: Final answer
   x = 148,049.00