Finding the Third Proportional to 17,659 and 37,134.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,659 : 37,134.50 = 37,134.50 : x
2. Step 2: Convert to fraction form
   17,659/37,134.50 = 37,134.50/x
3. Step 3: Cross multiply
   17,659x = 37,134.50 × 37,134.50
4. Step 4: Simplify right side
   17,659x = 1,378,971,090.25
5. Step 5: Solve for x
   x = 1,378,971,090.25/17,659
6. Step 6: Final answer
   x = 78,088.85