Finding the Third Proportional to 37,095 and 80,346

Step by Step Solution

1. Step 1: Write the proportion equation
   37,095 : 80,346 = 80,346 : x
2. Step 2: Convert to fraction form
   37,095/80,346 = 80,346/x
3. Step 3: Cross multiply
   37,095x = 80,346 × 80,346
4. Step 4: Simplify right side
   37,095x = 6,455,479,716
5. Step 5: Solve for x
   x = 6,455,479,716/37,095
6. Step 6: Final answer
   x = 174,025.60