Finding the Third Proportional to 37,236 and 81,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,236 : 81,037.50 = 81,037.50 : x
2. Step 2: Convert to fraction form
   37,236/81,037.50 = 81,037.50/x
3. Step 3: Cross multiply
   37,236x = 81,037.50 × 81,037.50
4. Step 4: Simplify right side
   37,236x = 6,567,076,406.25
5. Step 5: Solve for x
   x = 6,567,076,406.25/37,236
6. Step 6: Final answer
   x = 176,363.64