Finding the Third Proportional to 13,194 and 31,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,194 : 31,531.50 = 31,531.50 : x
2. Step 2: Convert to fraction form
   13,194/31,531.50 = 31,531.50/x
3. Step 3: Cross multiply
   13,194x = 31,531.50 × 31,531.50
4. Step 4: Simplify right side
   13,194x = 994,235,492.25
5. Step 5: Solve for x
   x = 994,235,492.25/13,194
6. Step 6: Final answer
   x = 75,355.12