Finding the Third Proportional to 35,869.08 and 78,557.34

Step by Step Solution

1. Step 1: Write the proportion equation
   35,869.08 : 78,557.34 = 78,557.34 : x
2. Step 2: Convert to fraction form
   35,869.08/78,557.34 = 78,557.34/x
3. Step 3: Cross multiply
   35,869.08x = 78,557.34 × 78,557.34
4. Step 4: Simplify right side
   35,869.08x = 6,171,256,257.06
5. Step 5: Solve for x
   x = 6,171,256,257.06/35,869.08
6. Step 6: Final answer
   x = 172,049.48