Finding the Third Proportional to 31,535 and 48,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,535 : 48,832.50 = 48,832.50 : x
2. Step 2: Convert to fraction form
   31,535/48,832.50 = 48,832.50/x
3. Step 3: Cross multiply
   31,535x = 48,832.50 × 48,832.50
4. Step 4: Simplify right side
   31,535x = 2,384,613,056.25
5. Step 5: Solve for x
   x = 2,384,613,056.25/31,535
6. Step 6: Final answer
   x = 75,617.98