Finding the Third Proportional to 35,580 and 83,118

Step by Step Solution

1. Step 1: Write the proportion equation
   35,580 : 83,118 = 83,118 : x
2. Step 2: Convert to fraction form
   35,580/83,118 = 83,118/x
3. Step 3: Cross multiply
   35,580x = 83,118 × 83,118
4. Step 4: Simplify right side
   35,580x = 6,908,601,924
5. Step 5: Solve for x
   x = 6,908,601,924/35,580
6. Step 6: Final answer
   x = 194,170.94