Finding the Third Proportional to 37,440 and 81,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,440 : 81,913.50 = 81,913.50 : x
2. Step 2: Convert to fraction form
   37,440/81,913.50 = 81,913.50/x
3. Step 3: Cross multiply
   37,440x = 81,913.50 × 81,913.50
4. Step 4: Simplify right side
   37,440x = 6,709,821,482.25
5. Step 5: Solve for x
   x = 6,709,821,482.25/37,440
6. Step 6: Final answer
   x = 179,215.32