Finding the Third Proportional to 37,224 and 81,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,224 : 81,013.50 = 81,013.50 : x
2. Step 2: Convert to fraction form
   37,224/81,013.50 = 81,013.50/x
3. Step 3: Cross multiply
   37,224x = 81,013.50 × 81,013.50
4. Step 4: Simplify right side
   37,224x = 6,563,187,182.25
5. Step 5: Solve for x
   x = 6,563,187,182.25/37,224
6. Step 6: Final answer
   x = 176,316.01