Finding the Third Proportional to 53,910 and 77,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,910 : 77,161.50 = 77,161.50 : x
2. Step 2: Convert to fraction form
   53,910/77,161.50 = 77,161.50/x
3. Step 3: Cross multiply
   53,910x = 77,161.50 × 77,161.50
4. Step 4: Simplify right side
   53,910x = 5,953,897,082.25
5. Step 5: Solve for x
   x = 5,953,897,082.25/53,910
6. Step 6: Final answer
   x = 110,441.42