Finding the Third Proportional to 37,088 and 61,584

Step by Step Solution

1. Step 1: Write the proportion equation
   37,088 : 61,584 = 61,584 : x
2. Step 2: Convert to fraction form
   37,088/61,584 = 61,584/x
3. Step 3: Cross multiply
   37,088x = 61,584 × 61,584
4. Step 4: Simplify right side
   37,088x = 3,792,589,056
5. Step 5: Solve for x
   x = 3,792,589,056/37,088
6. Step 6: Final answer
   x = 102,259.20