Finding the Third Proportional to 27,152 and 57,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,152 : 57,580.50 = 57,580.50 : x
2. Step 2: Convert to fraction form
   27,152/57,580.50 = 57,580.50/x
3. Step 3: Cross multiply
   27,152x = 57,580.50 × 57,580.50
4. Step 4: Simplify right side
   27,152x = 3,315,513,980.25
5. Step 5: Solve for x
   x = 3,315,513,980.25/27,152
6. Step 6: Final answer
   x = 122,109.38