Finding the Third Proportional to 53,158 and 85,650

Step by Step Solution

1. Step 1: Write the proportion equation
   53,158 : 85,650 = 85,650 : x
2. Step 2: Convert to fraction form
   53,158/85,650 = 85,650/x
3. Step 3: Cross multiply
   53,158x = 85,650 × 85,650
4. Step 4: Simplify right side
   53,158x = 7,335,922,500
5. Step 5: Solve for x
   x = 7,335,922,500/53,158
6. Step 6: Final answer
   x = 138,002.23