Finding the Third Proportional to 35,726.25 and 78,459

Step by Step Solution

1. Step 1: Write the proportion equation
   35,726.25 : 78,459 = 78,459 : x
2. Step 2: Convert to fraction form
   35,726.25/78,459 = 78,459/x
3. Step 3: Cross multiply
   35,726.25x = 78,459 × 78,459
4. Step 4: Simplify right side
   35,726.25x = 6,155,814,681
5. Step 5: Solve for x
   x = 6,155,814,681/35,726.25
6. Step 6: Final answer
   x = 172,305.09