Finding the Third Proportional to 31,377 and 45,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,377 : 45,364.50 = 45,364.50 : x
2. Step 2: Convert to fraction form
   31,377/45,364.50 = 45,364.50/x
3. Step 3: Cross multiply
   31,377x = 45,364.50 × 45,364.50
4. Step 4: Simplify right side
   31,377x = 2,057,937,860.25
5. Step 5: Solve for x
   x = 2,057,937,860.25/31,377
6. Step 6: Final answer
   x = 65,587.46