Finding the Third Proportional to 37,185 and 72,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,185 : 72,501.50 = 72,501.50 : x
2. Step 2: Convert to fraction form
   37,185/72,501.50 = 72,501.50/x
3. Step 3: Cross multiply
   37,185x = 72,501.50 × 72,501.50
4. Step 4: Simplify right side
   37,185x = 5,256,467,502.25
5. Step 5: Solve for x
   x = 5,256,467,502.25/37,185
6. Step 6: Final answer
   x = 141,359.89