Finding the Third Proportional to 37,189 and 56,654

Step by Step Solution

1. Step 1: Write the proportion equation
   37,189 : 56,654 = 56,654 : x
2. Step 2: Convert to fraction form
   37,189/56,654 = 56,654/x
3. Step 3: Cross multiply
   37,189x = 56,654 × 56,654
4. Step 4: Simplify right side
   37,189x = 3,209,675,716
5. Step 5: Solve for x
   x = 3,209,675,716/37,189
6. Step 6: Final answer
   x = 86,307.13