Finding the Third Proportional to 35,378.25 and 77,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,378.25 : 77,317.50 = 77,317.50 : x
2. Step 2: Convert to fraction form
   35,378.25/77,317.50 = 77,317.50/x
3. Step 3: Cross multiply
   35,378.25x = 77,317.50 × 77,317.50
4. Step 4: Simplify right side
   35,378.25x = 5,977,995,806.25
5. Step 5: Solve for x
   x = 5,977,995,806.25/35,378.25
6. Step 6: Final answer
   x = 168,973.76