Finding the Third Proportional to 37,093.75 and 78,602

Step by Step Solution

1. Step 1: Write the proportion equation
   37,093.75 : 78,602 = 78,602 : x
2. Step 2: Convert to fraction form
   37,093.75/78,602 = 78,602/x
3. Step 3: Cross multiply
   37,093.75x = 78,602 × 78,602
4. Step 4: Simplify right side
   37,093.75x = 6,178,274,404
5. Step 5: Solve for x
   x = 6,178,274,404/37,093.75
6. Step 6: Final answer
   x = 166,558.37