Finding the Third Proportional to 37,766.25 and 74,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,766.25 : 74,560.50 = 74,560.50 : x
2. Step 2: Convert to fraction form
   37,766.25/74,560.50 = 74,560.50/x
3. Step 3: Cross multiply
   37,766.25x = 74,560.50 × 74,560.50
4. Step 4: Simplify right side
   37,766.25x = 5,559,268,160.25
5. Step 5: Solve for x
   x = 5,559,268,160.25/37,766.25
6. Step 6: Final answer
   x = 147,202.02