Finding the Third Proportional to 35,977.50 and 77,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,977.50 : 77,152.50 = 77,152.50 : x
2. Step 2: Convert to fraction form
   35,977.50/77,152.50 = 77,152.50/x
3. Step 3: Cross multiply
   35,977.50x = 77,152.50 × 77,152.50
4. Step 4: Simplify right side
   35,977.50x = 5,952,508,256.25
5. Step 5: Solve for x
   x = 5,952,508,256.25/35,977.50
6. Step 6: Final answer
   x = 165,450.86