Finding the Third Proportional to 37,095 and 87,516

Step by Step Solution

1. Step 1: Write the proportion equation
   37,095 : 87,516 = 87,516 : x
2. Step 2: Convert to fraction form
   37,095/87,516 = 87,516/x
3. Step 3: Cross multiply
   37,095x = 87,516 × 87,516
4. Step 4: Simplify right side
   37,095x = 7,659,050,256
5. Step 5: Solve for x
   x = 7,659,050,256/37,095
6. Step 6: Final answer
   x = 206,471.23