Finding the Third Proportional to 52,711 and 83,833

Step by Step Solution

1. Step 1: Write the proportion equation
   52,711 : 83,833 = 83,833 : x
2. Step 2: Convert to fraction form
   52,711/83,833 = 83,833/x
3. Step 3: Cross multiply
   52,711x = 83,833 × 83,833
4. Step 4: Simplify right side
   52,711x = 7,027,971,889
5. Step 5: Solve for x
   x = 7,027,971,889/52,711
6. Step 6: Final answer
   x = 133,330.27