Finding the Third Proportional to 51,982 and 83,710

Step by Step Solution

1. Step 1: Write the proportion equation
   51,982 : 83,710 = 83,710 : x
2. Step 2: Convert to fraction form
   51,982/83,710 = 83,710/x
3. Step 3: Cross multiply
   51,982x = 83,710 × 83,710
4. Step 4: Simplify right side
   51,982x = 7,007,364,100
5. Step 5: Solve for x
   x = 7,007,364,100/51,982
6. Step 6: Final answer
   x = 134,803.66