Finding the Third Proportional to 15,865.88 and 37,589.06

Step by Step Solution

1. Step 1: Write the proportion equation
   15,865.88 : 37,589.06 = 37,589.06 : x
2. Step 2: Convert to fraction form
   15,865.88/37,589.06 = 37,589.06/x
3. Step 3: Cross multiply
   15,865.88x = 37,589.06 × 37,589.06
4. Step 4: Simplify right side
   15,865.88x = 1,412,937,619.63
5. Step 5: Solve for x
   x = 1,412,937,619.63/15,865.88
6. Step 6: Final answer
   x = 89,055.13