Finding the Third Proportional to 36,564 and 55,117

Step by Step Solution

1. Step 1: Write the proportion equation
   36,564 : 55,117 = 55,117 : x
2. Step 2: Convert to fraction form
   36,564/55,117 = 55,117/x
3. Step 3: Cross multiply
   36,564x = 55,117 × 55,117
4. Step 4: Simplify right side
   36,564x = 3,037,883,689
5. Step 5: Solve for x
   x = 3,037,883,689/36,564
6. Step 6: Final answer
   x = 83,084.01