Finding the Third Proportional to 55,314 and 85,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,314 : 85,792.50 = 85,792.50 : x
2. Step 2: Convert to fraction form
   55,314/85,792.50 = 85,792.50/x
3. Step 3: Cross multiply
   55,314x = 85,792.50 × 85,792.50
4. Step 4: Simplify right side
   55,314x = 7,360,353,056.25
5. Step 5: Solve for x
   x = 7,360,353,056.25/55,314
6. Step 6: Final answer
   x = 133,064.92