Finding the Third Proportional to 35,880 and 52,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,880 : 52,723.50 = 52,723.50 : x
2. Step 2: Convert to fraction form
   35,880/52,723.50 = 52,723.50/x
3. Step 3: Cross multiply
   35,880x = 52,723.50 × 52,723.50
4. Step 4: Simplify right side
   35,880x = 2,779,767,452.25
5. Step 5: Solve for x
   x = 2,779,767,452.25/35,880
6. Step 6: Final answer
   x = 77,474.01