Finding the Third Proportional to 52,772 and 82,007

Step by Step Solution

1. Step 1: Write the proportion equation
   52,772 : 82,007 = 82,007 : x
2. Step 2: Convert to fraction form
   52,772/82,007 = 82,007/x
3. Step 3: Cross multiply
   52,772x = 82,007 × 82,007
4. Step 4: Simplify right side
   52,772x = 6,725,148,049
5. Step 5: Solve for x
   x = 6,725,148,049/52,772
6. Step 6: Final answer
   x = 127,437.81