Finding the Third Proportional to 52,412 and 83,033

Step by Step Solution

1. Step 1: Write the proportion equation
   52,412 : 83,033 = 83,033 : x
2. Step 2: Convert to fraction form
   52,412/83,033 = 83,033/x
3. Step 3: Cross multiply
   52,412x = 83,033 × 83,033
4. Step 4: Simplify right side
   52,412x = 6,894,479,089
5. Step 5: Solve for x
   x = 6,894,479,089/52,412
6. Step 6: Final answer
   x = 131,543.90