Finding the Third Proportional to 57,160 and 77,106

Step by Step Solution

1. Step 1: Write the proportion equation
   57,160 : 77,106 = 77,106 : x
2. Step 2: Convert to fraction form
   57,160/77,106 = 77,106/x
3. Step 3: Cross multiply
   57,160x = 77,106 × 77,106
4. Step 4: Simplify right side
   57,160x = 5,945,335,236
5. Step 5: Solve for x
   x = 5,945,335,236/57,160
6. Step 6: Final answer
   x = 104,012.16