Finding the Third Proportional to 31,196 and 66,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,196 : 66,539.50 = 66,539.50 : x
2. Step 2: Convert to fraction form
   31,196/66,539.50 = 66,539.50/x
3. Step 3: Cross multiply
   31,196x = 66,539.50 × 66,539.50
4. Step 4: Simplify right side
   31,196x = 4,427,505,060.25
5. Step 5: Solve for x
   x = 4,427,505,060.25/31,196
6. Step 6: Final answer
   x = 141,925.41