Finding the Third Proportional to 37,732.50 and 78,558.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,732.50 : 78,558.75 = 78,558.75 : x
2. Step 2: Convert to fraction form
   37,732.50/78,558.75 = 78,558.75/x
3. Step 3: Cross multiply
   37,732.50x = 78,558.75 × 78,558.75
4. Step 4: Simplify right side
   37,732.50x = 6,171,477,201.56
5. Step 5: Solve for x
   x = 6,171,477,201.56/37,732.50
6. Step 6: Final answer
   x = 163,558.66