Finding the Third Proportional to 35,922 and 78,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,922 : 78,061.50 = 78,061.50 : x
2. Step 2: Convert to fraction form
   35,922/78,061.50 = 78,061.50/x
3. Step 3: Cross multiply
   35,922x = 78,061.50 × 78,061.50
4. Step 4: Simplify right side
   35,922x = 6,093,597,782.25
5. Step 5: Solve for x
   x = 6,093,597,782.25/35,922
6. Step 6: Final answer
   x = 169,634.15