Finding the Third Proportional to 37,184 and 72,501

Step by Step Solution

1. Step 1: Write the proportion equation
   37,184 : 72,501 = 72,501 : x
2. Step 2: Convert to fraction form
   37,184/72,501 = 72,501/x
3. Step 3: Cross multiply
   37,184x = 72,501 × 72,501
4. Step 4: Simplify right side
   37,184x = 5,256,395,001
5. Step 5: Solve for x
   x = 5,256,395,001/37,184
6. Step 6: Final answer
   x = 141,361.74