Finding the Third Proportional to 35,585 and 77,014

Step by Step Solution

1. Step 1: Write the proportion equation
   35,585 : 77,014 = 77,014 : x
2. Step 2: Convert to fraction form
   35,585/77,014 = 77,014/x
3. Step 3: Cross multiply
   35,585x = 77,014 × 77,014
4. Step 4: Simplify right side
   35,585x = 5,931,156,196
5. Step 5: Solve for x
   x = 5,931,156,196/35,585
6. Step 6: Final answer
   x = 166,675.74