Finding the Third Proportional to 35,613.50 and 75,994

Step by Step Solution

1. Step 1: Write the proportion equation
   35,613.50 : 75,994 = 75,994 : x
2. Step 2: Convert to fraction form
   35,613.50/75,994 = 75,994/x
3. Step 3: Cross multiply
   35,613.50x = 75,994 × 75,994
4. Step 4: Simplify right side
   35,613.50x = 5,775,088,036
5. Step 5: Solve for x
   x = 5,775,088,036/35,613.50
6. Step 6: Final answer
   x = 162,160.08