Finding the Third Proportional to 32,076 and 69,966

Step by Step Solution

1. Step 1: Write the proportion equation
   32,076 : 69,966 = 69,966 : x
2. Step 2: Convert to fraction form
   32,076/69,966 = 69,966/x
3. Step 3: Cross multiply
   32,076x = 69,966 × 69,966
4. Step 4: Simplify right side
   32,076x = 4,895,241,156
5. Step 5: Solve for x
   x = 4,895,241,156/32,076
6. Step 6: Final answer
   x = 152,613.83