Finding the Third Proportional to 37,154 and 87,620

Step by Step Solution

1. Step 1: Write the proportion equation
   37,154 : 87,620 = 87,620 : x
2. Step 2: Convert to fraction form
   37,154/87,620 = 87,620/x
3. Step 3: Cross multiply
   37,154x = 87,620 × 87,620
4. Step 4: Simplify right side
   37,154x = 7,677,264,400
5. Step 5: Solve for x
   x = 7,677,264,400/37,154
6. Step 6: Final answer
   x = 206,633.59