Finding the Third Proportional to 26,140 and 35,123

Step by Step Solution

1. Step 1: Write the proportion equation
   26,140 : 35,123 = 35,123 : x
2. Step 2: Convert to fraction form
   26,140/35,123 = 35,123/x
3. Step 3: Cross multiply
   26,140x = 35,123 × 35,123
4. Step 4: Simplify right side
   26,140x = 1,233,625,129
5. Step 5: Solve for x
   x = 1,233,625,129/26,140
6. Step 6: Final answer
   x = 47,193.00