Finding the Third Proportional to 35,776.50 and 78,590.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,776.50 : 78,590.25 = 78,590.25 : x
2. Step 2: Convert to fraction form
   35,776.50/78,590.25 = 78,590.25/x
3. Step 3: Cross multiply
   35,776.50x = 78,590.25 × 78,590.25
4. Step 4: Simplify right side
   35,776.50x = 6,176,427,395.06
5. Step 5: Solve for x
   x = 6,176,427,395.06/35,776.50
6. Step 6: Final answer
   x = 172,639.23