Finding the Third Proportional to 32,985 and 69,210

Step by Step Solution

1. Step 1: Write the proportion equation
   32,985 : 69,210 = 69,210 : x
2. Step 2: Convert to fraction form
   32,985/69,210 = 69,210/x
3. Step 3: Cross multiply
   32,985x = 69,210 × 69,210
4. Step 4: Simplify right side
   32,985x = 4,790,024,100
5. Step 5: Solve for x
   x = 4,790,024,100/32,985
6. Step 6: Final answer
   x = 145,218.25