Finding the Third Proportional to 32,978 and 69,889

Step by Step Solution

1. Step 1: Write the proportion equation
   32,978 : 69,889 = 69,889 : x
2. Step 2: Convert to fraction form
   32,978/69,889 = 69,889/x
3. Step 3: Cross multiply
   32,978x = 69,889 × 69,889
4. Step 4: Simplify right side
   32,978x = 4,884,472,321
5. Step 5: Solve for x
   x = 4,884,472,321/32,978
6. Step 6: Final answer
   x = 148,113.05