Finding the Third Proportional to 37,725.75 and 78,552

Step by Step Solution

1. Step 1: Write the proportion equation
   37,725.75 : 78,552 = 78,552 : x
2. Step 2: Convert to fraction form
   37,725.75/78,552 = 78,552/x
3. Step 3: Cross multiply
   37,725.75x = 78,552 × 78,552
4. Step 4: Simplify right side
   37,725.75x = 6,170,416,704
5. Step 5: Solve for x
   x = 6,170,416,704/37,725.75
6. Step 6: Final answer
   x = 163,559.82