Finding the Third Proportional to 31,407 and 46,030.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,407 : 46,030.50 = 46,030.50 : x
2. Step 2: Convert to fraction form
   31,407/46,030.50 = 46,030.50/x
3. Step 3: Cross multiply
   31,407x = 46,030.50 × 46,030.50
4. Step 4: Simplify right side
   31,407x = 2,118,806,930.25
5. Step 5: Solve for x
   x = 2,118,806,930.25/31,407
6. Step 6: Final answer
   x = 67,462.89