Finding the Third Proportional to 37,641 and 58,318.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,641 : 58,318.50 = 58,318.50 : x
2. Step 2: Convert to fraction form
   37,641/58,318.50 = 58,318.50/x
3. Step 3: Cross multiply
   37,641x = 58,318.50 × 58,318.50
4. Step 4: Simplify right side
   37,641x = 3,401,047,442.25
5. Step 5: Solve for x
   x = 3,401,047,442.25/37,641
6. Step 6: Final answer
   x = 90,354.86