Finding the Third Proportional to 35,565 and 76,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,565 : 76,642.50 = 76,642.50 : x
2. Step 2: Convert to fraction form
   35,565/76,642.50 = 76,642.50/x
3. Step 3: Cross multiply
   35,565x = 76,642.50 × 76,642.50
4. Step 4: Simplify right side
   35,565x = 5,874,072,806.25
5. Step 5: Solve for x
   x = 5,874,072,806.25/35,565
6. Step 6: Final answer
   x = 165,164.43