Finding the Third Proportional to 35,976 and 56,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,976 : 56,312.50 = 56,312.50 : x
2. Step 2: Convert to fraction form
   35,976/56,312.50 = 56,312.50/x
3. Step 3: Cross multiply
   35,976x = 56,312.50 × 56,312.50
4. Step 4: Simplify right side
   35,976x = 3,171,097,656.25
5. Step 5: Solve for x
   x = 3,171,097,656.25/35,976
6. Step 6: Final answer
   x = 88,144.81