Finding the Third Proportional to 33,101.50 and 78,074

Step by Step Solution

1. Step 1: Write the proportion equation
   33,101.50 : 78,074 = 78,074 : x
2. Step 2: Convert to fraction form
   33,101.50/78,074 = 78,074/x
3. Step 3: Cross multiply
   33,101.50x = 78,074 × 78,074
4. Step 4: Simplify right side
   33,101.50x = 6,095,549,476
5. Step 5: Solve for x
   x = 6,095,549,476/33,101.50
6. Step 6: Final answer
   x = 184,147.23