Finding the Third Proportional to 35,004 and 76,813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,004 : 76,813.50 = 76,813.50 : x
2. Step 2: Convert to fraction form
   35,004/76,813.50 = 76,813.50/x
3. Step 3: Cross multiply
   35,004x = 76,813.50 × 76,813.50
4. Step 4: Simplify right side
   35,004x = 5,900,313,782.25
5. Step 5: Solve for x
   x = 5,900,313,782.25/35,004
6. Step 6: Final answer
   x = 168,561.13