Finding the Third Proportional to 35,577 and 55,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,577 : 55,807.50 = 55,807.50 : x
2. Step 2: Convert to fraction form
   35,577/55,807.50 = 55,807.50/x
3. Step 3: Cross multiply
   35,577x = 55,807.50 × 55,807.50
4. Step 4: Simplify right side
   35,577x = 3,114,477,056.25
5. Step 5: Solve for x
   x = 3,114,477,056.25/35,577
6. Step 6: Final answer
   x = 87,541.87