Finding the Third Proportional to 35,595.69 and 78,296.88

Step by Step Solution

1. Step 1: Write the proportion equation
   35,595.69 : 78,296.88 = 78,296.88 : x
2. Step 2: Convert to fraction form
   35,595.69/78,296.88 = 78,296.88/x
3. Step 3: Cross multiply
   35,595.69x = 78,296.88 × 78,296.88
4. Step 4: Simplify right side
   35,595.69x = 6,130,400,634.77
5. Step 5: Solve for x
   x = 6,130,400,634.77/35,595.69
6. Step 6: Final answer
   x = 172,223.13