Finding the Third Proportional to 42,772.50 and 64,158.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,772.50 : 64,158.75 = 64,158.75 : x
2. Step 2: Convert to fraction form
   42,772.50/64,158.75 = 64,158.75/x
3. Step 3: Cross multiply
   42,772.50x = 64,158.75 × 64,158.75
4. Step 4: Simplify right side
   42,772.50x = 4,116,345,201.56
5. Step 5: Solve for x
   x = 4,116,345,201.56/42,772.50
6. Step 6: Final answer
   x = 96,238.13