Finding the Third Proportional to 42,771 and 64,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,771 : 64,156.50 = 64,156.50 : x
2. Step 2: Convert to fraction form
   42,771/64,156.50 = 64,156.50/x
3. Step 3: Cross multiply
   42,771x = 64,156.50 × 64,156.50
4. Step 4: Simplify right side
   42,771x = 4,116,056,492.25
5. Step 5: Solve for x
   x = 4,116,056,492.25/42,771
6. Step 6: Final answer
   x = 96,234.75