Finding the Third Proportional to 36,102 and 55,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,102 : 55,792.50 = 55,792.50 : x
2. Step 2: Convert to fraction form
   36,102/55,792.50 = 55,792.50/x
3. Step 3: Cross multiply
   36,102x = 55,792.50 × 55,792.50
4. Step 4: Simplify right side
   36,102x = 3,112,803,056.25
5. Step 5: Solve for x
   x = 3,112,803,056.25/36,102
6. Step 6: Final answer
   x = 86,222.45