Finding the Third Proportional to 37,782 and 78,705

Step by Step Solution

1. Step 1: Write the proportion equation
   37,782 : 78,705 = 78,705 : x
2. Step 2: Convert to fraction form
   37,782/78,705 = 78,705/x
3. Step 3: Cross multiply
   37,782x = 78,705 × 78,705
4. Step 4: Simplify right side
   37,782x = 6,194,477,025
5. Step 5: Solve for x
   x = 6,194,477,025/37,782
6. Step 6: Final answer
   x = 163,953.13