Finding the Third Proportional to 31,140 and 45,558

Step by Step Solution

1. Step 1: Write the proportion equation
   31,140 : 45,558 = 45,558 : x
2. Step 2: Convert to fraction form
   31,140/45,558 = 45,558/x
3. Step 3: Cross multiply
   31,140x = 45,558 × 45,558
4. Step 4: Simplify right side
   31,140x = 2,075,531,364
5. Step 5: Solve for x
   x = 2,075,531,364/31,140
6. Step 6: Final answer
   x = 66,651.62