Finding the Third Proportional to 31,617 and 48,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,617 : 48,613.50 = 48,613.50 : x
2. Step 2: Convert to fraction form
   31,617/48,613.50 = 48,613.50/x
3. Step 3: Cross multiply
   31,617x = 48,613.50 × 48,613.50
4. Step 4: Simplify right side
   31,617x = 2,363,272,382.25
5. Step 5: Solve for x
   x = 2,363,272,382.25/31,617
6. Step 6: Final answer
   x = 74,746.89