Finding the Third Proportional to 31,810 and 46,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,810 : 46,764.50 = 46,764.50 : x
2. Step 2: Convert to fraction form
   31,810/46,764.50 = 46,764.50/x
3. Step 3: Cross multiply
   31,810x = 46,764.50 × 46,764.50
4. Step 4: Simplify right side
   31,810x = 2,186,918,460.25
5. Step 5: Solve for x
   x = 2,186,918,460.25/31,810
6. Step 6: Final answer
   x = 68,749.40