Finding the Third Proportional to 37,507.50 and 78,477.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,507.50 : 78,477.75 = 78,477.75 : x
2. Step 2: Convert to fraction form
   37,507.50/78,477.75 = 78,477.75/x
3. Step 3: Cross multiply
   37,507.50x = 78,477.75 × 78,477.75
4. Step 4: Simplify right side
   37,507.50x = 6,158,757,245.06
5. Step 5: Solve for x
   x = 6,158,757,245.06/37,507.50
6. Step 6: Final answer
   x = 164,200.69