Finding the Third Proportional to 36,566 and 58,152

Step by Step Solution

1. Step 1: Write the proportion equation
   36,566 : 58,152 = 58,152 : x
2. Step 2: Convert to fraction form
   36,566/58,152 = 58,152/x
3. Step 3: Cross multiply
   36,566x = 58,152 × 58,152
4. Step 4: Simplify right side
   36,566x = 3,381,655,104
5. Step 5: Solve for x
   x = 3,381,655,104/36,566
6. Step 6: Final answer
   x = 92,480.86