Finding the Third Proportional to 15,584 and 37,047

Step by Step Solution

1. Step 1: Write the proportion equation
   15,584 : 37,047 = 37,047 : x
2. Step 2: Convert to fraction form
   15,584/37,047 = 37,047/x
3. Step 3: Cross multiply
   15,584x = 37,047 × 37,047
4. Step 4: Simplify right side
   15,584x = 1,372,480,209
5. Step 5: Solve for x
   x = 1,372,480,209/15,584
6. Step 6: Final answer
   x = 88,069.83