Finding the Third Proportional to 35,547.29 and 77,319.56

Step by Step Solution

1. Step 1: Write the proportion equation
   35,547.29 : 77,319.56 = 77,319.56 : x
2. Step 2: Convert to fraction form
   35,547.29/77,319.56 = 77,319.56/x
3. Step 3: Cross multiply
   35,547.29x = 77,319.56 × 77,319.56
4. Step 4: Simplify right side
   35,547.29x = 5,978,314,745.19
5. Step 5: Solve for x
   x = 5,978,314,745.19/35,547.29
6. Step 6: Final answer
   x = 168,179.18