Finding the Third Proportional to 37,030 and 78,474

Step by Step Solution

1. Step 1: Write the proportion equation
   37,030 : 78,474 = 78,474 : x
2. Step 2: Convert to fraction form
   37,030/78,474 = 78,474/x
3. Step 3: Cross multiply
   37,030x = 78,474 × 78,474
4. Step 4: Simplify right side
   37,030x = 6,158,168,676
5. Step 5: Solve for x
   x = 6,158,168,676/37,030
6. Step 6: Final answer
   x = 166,302.15