Finding the Third Proportional to 31,194 and 45,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,194 : 45,598.50 = 45,598.50 : x
2. Step 2: Convert to fraction form
   31,194/45,598.50 = 45,598.50/x
3. Step 3: Cross multiply
   31,194x = 45,598.50 × 45,598.50
4. Step 4: Simplify right side
   31,194x = 2,079,223,202.25
5. Step 5: Solve for x
   x = 2,079,223,202.25/31,194
6. Step 6: Final answer
   x = 66,654.59