Finding the Third Proportional to 32,672 and 69,610

Step by Step Solution

1. Step 1: Write the proportion equation
   32,672 : 69,610 = 69,610 : x
2. Step 2: Convert to fraction form
   32,672/69,610 = 69,610/x
3. Step 3: Cross multiply
   32,672x = 69,610 × 69,610
4. Step 4: Simplify right side
   32,672x = 4,845,552,100
5. Step 5: Solve for x
   x = 4,845,552,100/32,672
6. Step 6: Final answer
   x = 148,309.01