Finding the Third Proportional to 37,132 and 78,152

Step by Step Solution

1. Step 1: Write the proportion equation
   37,132 : 78,152 = 78,152 : x
2. Step 2: Convert to fraction form
   37,132/78,152 = 78,152/x
3. Step 3: Cross multiply
   37,132x = 78,152 × 78,152
4. Step 4: Simplify right side
   37,132x = 6,107,735,104
5. Step 5: Solve for x
   x = 6,107,735,104/37,132
6. Step 6: Final answer
   x = 164,487.10