Finding the Third Proportional to 35,662.50 and 78,129

Step by Step Solution

1. Step 1: Write the proportion equation
   35,662.50 : 78,129 = 78,129 : x
2. Step 2: Convert to fraction form
   35,662.50/78,129 = 78,129/x
3. Step 3: Cross multiply
   35,662.50x = 78,129 × 78,129
4. Step 4: Simplify right side
   35,662.50x = 6,104,140,641
5. Step 5: Solve for x
   x = 6,104,140,641/35,662.50
6. Step 6: Final answer
   x = 171,164.13