Finding the Third Proportional to 35,830.50 and 75,931.88

Step by Step Solution

1. Step 1: Write the proportion equation
   35,830.50 : 75,931.88 = 75,931.88 : x
2. Step 2: Convert to fraction form
   35,830.50/75,931.88 = 75,931.88/x
3. Step 3: Cross multiply
   35,830.50x = 75,931.88 × 75,931.88
4. Step 4: Simplify right side
   35,830.50x = 5,765,649,641.02
5. Step 5: Solve for x
   x = 5,765,649,641.02/35,830.50
6. Step 6: Final answer
   x = 160,914.57