Finding the Third Proportional to 35,814 and 78,776

Step by Step Solution

1. Step 1: Write the proportion equation
   35,814 : 78,776 = 78,776 : x
2. Step 2: Convert to fraction form
   35,814/78,776 = 78,776/x
3. Step 3: Cross multiply
   35,814x = 78,776 × 78,776
4. Step 4: Simplify right side
   35,814x = 6,205,658,176
5. Step 5: Solve for x
   x = 6,205,658,176/35,814
6. Step 6: Final answer
   x = 173,274.65