Finding the Third Proportional to 37,202 and 54,158

Step by Step Solution

1. Step 1: Write the proportion equation
   37,202 : 54,158 = 54,158 : x
2. Step 2: Convert to fraction form
   37,202/54,158 = 54,158/x
3. Step 3: Cross multiply
   37,202x = 54,158 × 54,158
4. Step 4: Simplify right side
   37,202x = 2,933,088,964
5. Step 5: Solve for x
   x = 2,933,088,964/37,202
6. Step 6: Final answer
   x = 78,842.24