Finding the Third Proportional to 35,176.50 and 77,024.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,176.50 : 77,024.25 = 77,024.25 : x
2. Step 2: Convert to fraction form
   35,176.50/77,024.25 = 77,024.25/x
3. Step 3: Cross multiply
   35,176.50x = 77,024.25 × 77,024.25
4. Step 4: Simplify right side
   35,176.50x = 5,932,735,088.06
5. Step 5: Solve for x
   x = 5,932,735,088.06/35,176.50
6. Step 6: Final answer
   x = 168,656.21