Finding the Third Proportional to 35,878.50 and 78,597

Step by Step Solution

1. Step 1: Write the proportion equation
   35,878.50 : 78,597 = 78,597 : x
2. Step 2: Convert to fraction form
   35,878.50/78,597 = 78,597/x
3. Step 3: Cross multiply
   35,878.50x = 78,597 × 78,597
4. Step 4: Simplify right side
   35,878.50x = 6,177,488,409
5. Step 5: Solve for x
   x = 6,177,488,409/35,878.50
6. Step 6: Final answer
   x = 172,178.00