Finding the Third Proportional to 35,585.25 and 77,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,585.25 : 77,014.50 = 77,014.50 : x
2. Step 2: Convert to fraction form
   35,585.25/77,014.50 = 77,014.50/x
3. Step 3: Cross multiply
   35,585.25x = 77,014.50 × 77,014.50
4. Step 4: Simplify right side
   35,585.25x = 5,931,233,210.25
5. Step 5: Solve for x
   x = 5,931,233,210.25/35,585.25
6. Step 6: Final answer
   x = 166,676.73