Finding the Third Proportional to 53,558 and 83,030

Step by Step Solution

1. Step 1: Write the proportion equation
   53,558 : 83,030 = 83,030 : x
2. Step 2: Convert to fraction form
   53,558/83,030 = 83,030/x
3. Step 3: Cross multiply
   53,558x = 83,030 × 83,030
4. Step 4: Simplify right side
   53,558x = 6,893,980,900
5. Step 5: Solve for x
   x = 6,893,980,900/53,558
6. Step 6: Final answer
   x = 128,719.91