Finding the Third Proportional to 37,870.50 and 80,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,870.50 : 80,662.50 = 80,662.50 : x
2. Step 2: Convert to fraction form
   37,870.50/80,662.50 = 80,662.50/x
3. Step 3: Cross multiply
   37,870.50x = 80,662.50 × 80,662.50
4. Step 4: Simplify right side
   37,870.50x = 6,506,438,906.25
5. Step 5: Solve for x
   x = 6,506,438,906.25/37,870.50
6. Step 6: Final answer
   x = 171,807.58