Finding the Third Proportional to 31,323 and 42,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,323 : 42,952.50 = 42,952.50 : x
2. Step 2: Convert to fraction form
   31,323/42,952.50 = 42,952.50/x
3. Step 3: Cross multiply
   31,323x = 42,952.50 × 42,952.50
4. Step 4: Simplify right side
   31,323x = 1,844,917,256.25
5. Step 5: Solve for x
   x = 1,844,917,256.25/31,323
6. Step 6: Final answer
   x = 58,899.76